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Loans Receivable and Allowance for Loan Losses - Loans Receivable (Details) - USD ($)
$ in Thousands
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Dec. 31, 2014
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Loans receivable, gross $ 21,995,877 $ 25,103,643    
Loan discount, net of unamortized loan premiums and deferred origination costs (113,695) (129,507)    
Allowance for loan losses (54,590) (51,842) $ (50,498) $ (48,900)
Loans receivable, net 21,814,507 24,903,724    
Non-Accretable Discount [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Loan discount, net of unamortized loan premiums and deferred origination costs (13,085) (18,570)    
Consumer Portfolio Segment, Federally Insured [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Loans receivable, gross 21,721,606 24,829,984    
Allowance for loan losses (38,706) (37,268) (35,490)  
Consumer Portfolio Segment, Federally Insured [Member] | Student Loan, Stafford And Other [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Loans receivable, gross 4,418,881 5,186,047    
Consumer Portfolio Segment, Federally Insured [Member] | Student Loan, Consolidation Loan [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Loans receivable, gross 17,302,725 19,643,937    
Consumer Portfolio Segment, Private Education Loans [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Loans receivable, gross 212,160 273,659    
Allowance for loan losses (12,629) (14,574) (15,008)  
Consumer Portfolio Segment, Consumer Loans [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Loans receivable, gross 62,111 0    
Allowance for loan losses (3,255) 0 $ 0  
Financing Receivables Purchased Portfolio [Member] | Non-Accretable Discount [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Loans receivable, gross $ 5,800,000 $ 8,300,000