Atkin–Swinnerton-Dyer congruence conjecture for noncongruence cusp forms
Let Γ\GammaΓ be a noncongruence subgroup of SL2(Z)SL_2(\mathbb Z)SL2(Z) with finite index, let k≥2k\geq 2k≥2, and let Sk(Γ)S_k(\Gamma)Sk(Γ) have dimension ddd. Denote by XΓX_{\Gamma}XΓ the modular curve a…