Base field \(\Q(\sqrt{221}) \)
Generator \(w\), with minimal polynomial \(x^{2} - x - 55\); narrow class number \(4\) and class number \(2\).
Form
Weight: | $[2, 2]$ |
Level: | $[17, 17, -w - 8]$ |
Dimension: | $1$ |
CM: | no |
Base change: | no |
Newspace dimension: | $164$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
Norm | Prime | Eigenvalue |
---|---|---|
4 | $[4, 2, 2]$ | $\phantom{-}1$ |
5 | $[5, 5, w]$ | $-2$ |
5 | $[5, 5, w + 4]$ | $\phantom{-}2$ |
7 | $[7, 7, w + 2]$ | $\phantom{-}0$ |
7 | $[7, 7, w + 4]$ | $\phantom{-}4$ |
9 | $[9, 3, 3]$ | $\phantom{-}2$ |
11 | $[11, 11, w]$ | $-4$ |
11 | $[11, 11, w + 10]$ | $\phantom{-}0$ |
13 | $[13, 13, w + 6]$ | $-2$ |
17 | $[17, 17, -w - 8]$ | $\phantom{-}1$ |
31 | $[31, 31, w + 14]$ | $-4$ |
31 | $[31, 31, w + 16]$ | $\phantom{-}0$ |
37 | $[37, 37, w + 15]$ | $\phantom{-}2$ |
37 | $[37, 37, w + 21]$ | $-2$ |
41 | $[41, 41, w + 18]$ | $-2$ |
41 | $[41, 41, w + 22]$ | $-6$ |
43 | $[43, 43, -w - 3]$ | $\phantom{-}4$ |
43 | $[43, 43, w - 4]$ | $-4$ |
53 | $[53, 53, -w - 1]$ | $-10$ |
53 | $[53, 53, w - 2]$ | $\phantom{-}6$ |
Atkin-Lehner eigenvalues
Norm | Prime | Eigenvalue |
---|---|---|
$17$ | $[17, 17, -w - 8]$ | $-1$ |