Base field \(\Q(\sqrt{341}) \)
Generator \(w\), with minimal polynomial \(x^{2} - x - 85\); narrow class number \(2\) and class number \(1\).
Form
| Weight: | $[2, 2]$ |
| Level: | $[11, 11, 3w - 29]$ |
| Dimension: | $1$ |
| CM: | no |
| Base change: | yes |
| Newspace dimension: | $82$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
| Norm | Prime | Eigenvalue |
|---|---|---|
| 4 | $[4, 2, 2]$ | $\phantom{-}0$ |
| 5 | $[5, 5, -w + 10]$ | $\phantom{-}1$ |
| 5 | $[5, 5, w + 9]$ | $\phantom{-}1$ |
| 9 | $[9, 3, 3]$ | $-5$ |
| 11 | $[11, 11, 3w - 29]$ | $-1$ |
| 13 | $[13, 13, w - 9]$ | $-4$ |
| 13 | $[13, 13, -w - 8]$ | $-4$ |
| 17 | $[17, 17, 2w + 17]$ | $\phantom{-}2$ |
| 17 | $[17, 17, -2w + 19]$ | $\phantom{-}2$ |
| 29 | $[29, 29, -w - 7]$ | $\phantom{-}0$ |
| 29 | $[29, 29, w - 8]$ | $\phantom{-}0$ |
| 31 | $[31, 31, 5w - 49]$ | $\phantom{-}7$ |
| 43 | $[43, 43, -w - 6]$ | $\phantom{-}6$ |
| 43 | $[43, 43, w - 7]$ | $\phantom{-}6$ |
| 47 | $[47, 47, -w - 11]$ | $\phantom{-}8$ |
| 47 | $[47, 47, w - 12]$ | $\phantom{-}8$ |
| 49 | $[49, 7, -7]$ | $-10$ |
| 59 | $[59, 59, 2w - 21]$ | $\phantom{-}5$ |
| 59 | $[59, 59, 2w + 19]$ | $\phantom{-}5$ |
| 61 | $[61, 61, 5w - 48]$ | $-12$ |
Atkin-Lehner eigenvalues
| Norm | Prime | Eigenvalue |
|---|---|---|
| $11$ | $[11, 11, 3w - 29]$ | $1$ |