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For my understanding of modular forms, I have "properly" read the last chapter of Serre's book on arithmetic. I have not "properly" read the setup of Hecke operators for congruence subgroups.

I was intending to read the paper of Atkin and Lehner for filling this lacuna, as well as for understanding the proof of Atkin-Lehnher theorem. For some reason I could not relate very well with the exposition in the book of Diamond & Shurman or the book of Shimura.

I would be most grateful if somebody can point out some good reference for the Atkin-Lehner theorem other than these.

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    The Atkin-Lehner paper is quite readable.2010-11-24
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    Dear Denham, if Robin's comment above was a good answer, will you please re add it as an answer and accept it, to provide closure to this question? Otherwise it'll stay unanswered indefinitely...2012-05-09

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This book by Lang has an exposition on the Atkin-Lehner theorem.

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You can also look at page 82 of the following notes.