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Fair Value Measurements (Details) (USD $)
3 Months Ended 12 Months Ended
Mar. 31, 2015
Dec. 31, 2014
May 04, 2015
Fair Value of Financial Instruments      
Carrying amount $ 28,250,000us-gaap_LineOfCredit $ 13,250,000us-gaap_LineOfCredit  
Available-for-sale securities      
Aggregate cost of available-for-sale securities 5,300us-gaap_AvailableForSaleEquitySecuritiesAmortizedCostBasis    
Unrealized gain on available-for-sale securities 27,100us-gaap_AvailableForSaleSecuritiesAccumulatedGrossUnrealizedGainBeforeTax    
Facility      
Fair Value of Financial Instruments      
Carrying amount 28,250,000us-gaap_LineOfCredit
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
13,250,000us-gaap_LineOfCredit
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
24,250,000us-gaap_LineOfCredit
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
Recurring | Carrying and fair Value      
Available-for-sale securities:      
Available-for-sale Securities, Equity Securities 32,400us-gaap_AvailableForSaleSecuritiesEquitySecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsRecurringMember
29,000us-gaap_AvailableForSaleSecuritiesEquitySecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsRecurringMember
 
Recurring | Carrying and fair Value | Interest rate swap      
Available-for-sale securities:      
Derivative financial instruments   27,000us-gaap_DerivativeFairValueOfDerivativeAsset
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateSwapMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsRecurringMember
 
Financial liabilities:      
Derivative financial instruments 3,851,000us-gaap_DerivativeFairValueOfDerivativeLiability
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateSwapMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsRecurringMember
3,139,000us-gaap_DerivativeFairValueOfDerivativeLiability
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateSwapMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsRecurringMember
 
Recurring | Level 1      
Available-for-sale securities:      
Available-for-sale Securities, Equity Securities 32,400us-gaap_AvailableForSaleSecuritiesEquitySecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsRecurringMember
29,000us-gaap_AvailableForSaleSecuritiesEquitySecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsRecurringMember
 
Recurring | Level 2 | Interest rate swap      
Available-for-sale securities:      
Derivative financial instruments   27,000us-gaap_DerivativeFairValueOfDerivativeAsset
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateSwapMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsRecurringMember
 
Financial liabilities:      
Derivative financial instruments 3,851,000us-gaap_DerivativeFairValueOfDerivativeLiability
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateSwapMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsRecurringMember
3,139,000us-gaap_DerivativeFairValueOfDerivativeLiability
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateSwapMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsRecurringMember
 
Mortgages payable      
Fair Value of Financial Instruments      
Estimated fair value of mortgages payable 316,839,000us-gaap_DebtInstrumentFairValue
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_MortgagesMember
300,541,000us-gaap_DebtInstrumentFairValue
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_MortgagesMember
 
Excess of fair value over carrying value $ 12,031,000olp_DebtInstrumentExcessOfEstimatedFairValueOverCarryingValue
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_MortgagesMember
$ 8,492,000olp_DebtInstrumentExcessOfEstimatedFairValueOverCarryingValue
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_MortgagesMember
 
Blended or estimated market interest rate (as a percent) 4.16%us-gaap_FairValueInputsDiscountRate
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_MortgagesMember
4.50%us-gaap_FairValueInputsDiscountRate
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_MortgagesMember
 
Weighted average remaining term of the mortgages 9 years 1 month 6 days 9 years 1 month 6 days