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Questions about modular forms and related areas

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How to get the dimension of Atkin-Lehner eigenspace or do you have any data already obtained?

I need the dimensions of the Atkin-Lehner eigenspace for the paper I'm writing. As is well known, the cuspidal space $S_{k}(\Gamma_{0}(N))$ can be decomposed by Atkin Lehner involution. For example, w …
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