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Intangibles | 12 Months Ended
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Dec. 31, 2023
Intangibles |
Intangibles | (3) Intangibles All customer relationships are subject to amortization and are amortized over a weighted-average period of 18 years, which reflects the remaining economic life of the relationships as of December 31, 2023. The Company recorded amortization expense of $71 million for each of the years ended December 31, 2021, 2022 and 2023. The carrying amount of customer relationships were as follows:
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | December 31, | ​
(in thousands) | ​ | 2022 |  | 2023 | ​
Gross carrying value of customer relationships | ​ | $ | 1,555,000 |  | ​ | 1,555,000 | ​
Accumulated amortization of customer relationships | ​ | ​ | (268,897) | ​ | ​ | (339,569) | ​
Customer relationships | ​ | $ | 1,286,103 | ​ | ​ | 1,215,431 | ​
​ Future amortization expense as of December 31, 2023 is as follows (in thousands):
​ | ​ | ​ | ​ | ​
Year ending December 31, 2024 | ​ | $ | 70,672 | ​
Year ending December 31, 2025 | ​ | ​ | 70,672 | ​
Year ending December 31, 2026 | ​ | ​ | 70,672 | ​
Year ending December 31, 2027 | ​ | ​ | 70,672 | ​
Year ending December 31, 2028 | ​ | ​ | 70,672 | ​
Thereafter | ​ | ​ | 862,071 | ​
Total | ​ | $ | 1,215,431 | ​
​

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- Definition The entire disclosure for goodwill and intangible assets. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 350 -Name Accounting Standards Codification -Publisher FASB -URI https://asc.fasb.org//350/tableOfContent + Details
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