New answers tagged hecke-operators
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What is the image of the Hecke operator $U_p$?
The statement, as claimed, is false.
Let $p = 2, N = 11$, and let $f_0$ be the unique normalised eigenform in $S_2(\Gamma_0(11))$; and set $f(\tau) = f_0(8\tau)$. Then $f \in M_2(\Gamma_0(Np^3))$, but ...
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