Properties

Label 2.2.41.1-256.5-a
Base field \(\Q(\sqrt{41}) \)
Weight $[2, 2]$
Level norm $256$
Level $[256,64,-20w - 52]$
Dimension $1$
CM no
Base change no

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Base field \(\Q(\sqrt{41}) \)

Generator \(w\), with minimal polynomial \(x^{2} - x - 10\); narrow class number \(1\) and class number \(1\).

Form

Weight: $[2, 2]$
Level: $[256,64,-20w - 52]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $16$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, w - 4]$ $\phantom{-}0$
2 $[2, 2, -w - 3]$ $\phantom{-}0$
5 $[5, 5, -2w - 5]$ $\phantom{-}4$
5 $[5, 5, -2w + 7]$ $\phantom{-}2$
9 $[9, 3, 3]$ $-4$
23 $[23, 23, 2w - 9]$ $\phantom{-}4$
23 $[23, 23, -2w - 7]$ $\phantom{-}2$
31 $[31, 31, -6w - 17]$ $\phantom{-}0$
31 $[31, 31, 6w - 23]$ $-6$
37 $[37, 37, 2w - 3]$ $-8$
37 $[37, 37, -2w - 1]$ $\phantom{-}2$
41 $[41, 41, 2w - 1]$ $\phantom{-}2$
43 $[43, 43, -4w - 9]$ $\phantom{-}6$
43 $[43, 43, 4w - 13]$ $\phantom{-}12$
49 $[49, 7, -7]$ $\phantom{-}2$
59 $[59, 59, 2w - 11]$ $\phantom{-}10$
59 $[59, 59, -2w - 9]$ $\phantom{-}4$
61 $[61, 61, -4w + 17]$ $-10$
61 $[61, 61, 4w + 13]$ $\phantom{-}10$
73 $[73, 73, 8w + 23]$ $-14$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$2$ $[2,2,-w - 3]$ $-1$
$2$ $[2,2,w - 4]$ $-1$