Base field \(\Q(\sqrt{269}) \)
Generator \(w\), with minimal polynomial \(x^{2} - x - 67\); narrow class number \(1\) and class number \(1\).
Form
| Weight: | $[2, 2]$ |
| Level: | $[11, 11, -w + 8]$ |
| Dimension: | $1$ |
| CM: | no |
| Base change: | no |
| Newspace dimension: | $60$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
| Norm | Prime | Eigenvalue |
|---|---|---|
| 4 | $[4, 2, 2]$ | $\phantom{-}1$ |
| 5 | $[5, 5, w - 9]$ | $\phantom{-}0$ |
| 5 | $[5, 5, -w - 8]$ | $\phantom{-}0$ |
| 9 | $[9, 3, 3]$ | $-2$ |
| 11 | $[11, 11, -w + 8]$ | $-1$ |
| 11 | $[11, 11, -w - 7]$ | $-2$ |
| 13 | $[13, 13, 2w + 15]$ | $-6$ |
| 13 | $[13, 13, 2w - 17]$ | $-1$ |
| 23 | $[23, 23, -w - 9]$ | $\phantom{-}9$ |
| 23 | $[23, 23, -w + 10]$ | $\phantom{-}4$ |
| 37 | $[37, 37, -w - 5]$ | $-8$ |
| 37 | $[37, 37, w - 6]$ | $\phantom{-}2$ |
| 41 | $[41, 41, -5w - 39]$ | $\phantom{-}8$ |
| 41 | $[41, 41, -5w + 44]$ | $-7$ |
| 43 | $[43, 43, -w - 10]$ | $-9$ |
| 43 | $[43, 43, w - 11]$ | $-9$ |
| 47 | $[47, 47, -w - 4]$ | $\phantom{-}7$ |
| 47 | $[47, 47, w - 5]$ | $\phantom{-}2$ |
| 49 | $[49, 7, -7]$ | $\phantom{-}1$ |
| 53 | $[53, 53, -3w - 22]$ | $-3$ |
Atkin-Lehner eigenvalues
| Norm | Prime | Eigenvalue |
|---|---|---|
| $11$ | $[11, 11, -w + 8]$ | $1$ |