Base field \(\Q(\sqrt{55}) \)
Generator \(w\), with minimal polynomial \(x^{2} - 55\); narrow class number \(4\) and class number \(2\).
Form
| Weight: | $[2, 2]$ |
| Level: | $[8, 4, 2w + 2]$ |
| Dimension: | $1$ |
| CM: | no |
| Base change: | no |
| Newspace dimension: | $40$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
| Norm | Prime | Eigenvalue |
|---|---|---|
| 2 | $[2, 2, w + 1]$ | $\phantom{-}0$ |
| 3 | $[3, 3, w + 1]$ | $-3$ |
| 3 | $[3, 3, w + 2]$ | $-1$ |
| 5 | $[5, 5, -2w + 15]$ | $\phantom{-}0$ |
| 11 | $[11, 11, 3w - 22]$ | $-4$ |
| 13 | $[13, 13, w + 4]$ | $-2$ |
| 13 | $[13, 13, w + 9]$ | $\phantom{-}6$ |
| 17 | $[17, 17, w + 2]$ | $\phantom{-}5$ |
| 17 | $[17, 17, w + 15]$ | $-3$ |
| 19 | $[19, 19, -w - 6]$ | $-1$ |
| 19 | $[19, 19, w - 6]$ | $-3$ |
| 23 | $[23, 23, w + 3]$ | $\phantom{-}6$ |
| 23 | $[23, 23, w + 20]$ | $\phantom{-}2$ |
| 47 | $[47, 47, w + 14]$ | $\phantom{-}0$ |
| 47 | $[47, 47, w + 33]$ | $-8$ |
| 49 | $[49, 7, -7]$ | $-5$ |
| 67 | $[67, 67, w + 16]$ | $-12$ |
| 67 | $[67, 67, w + 51]$ | $\phantom{-}4$ |
| 73 | $[73, 73, w + 36]$ | $-2$ |
| 73 | $[73, 73, w + 37]$ | $\phantom{-}14$ |
Atkin-Lehner eigenvalues
| Norm | Prime | Eigenvalue |
|---|---|---|
| $2$ | $[2, 2, w + 1]$ | $1$ |