Base field \(\Q(\sqrt{26}) \)
Generator \(w\), with minimal polynomial \(x^{2} - 26\); narrow class number \(2\) and class number \(2\).
Form
| Weight: | $[2, 2]$ |
| Level: | $[52, 26, 2w]$ |
| Dimension: | $1$ |
| CM: | no |
| Base change: | yes |
| Newspace dimension: | $50$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
| Norm | Prime | Eigenvalue |
|---|---|---|
| 2 | $[2, 2, w]$ | $\phantom{-}0$ |
| 5 | $[5, 5, w + 1]$ | $\phantom{-}2$ |
| 5 | $[5, 5, w + 4]$ | $\phantom{-}2$ |
| 9 | $[9, 3, 3]$ | $-6$ |
| 11 | $[11, 11, w + 2]$ | $-2$ |
| 11 | $[11, 11, w + 9]$ | $-2$ |
| 13 | $[13, 13, w]$ | $-1$ |
| 17 | $[17, 17, w + 3]$ | $\phantom{-}6$ |
| 17 | $[17, 17, -w + 3]$ | $\phantom{-}6$ |
| 19 | $[19, 19, w + 8]$ | $-6$ |
| 19 | $[19, 19, w + 11]$ | $-6$ |
| 23 | $[23, 23, -w - 7]$ | $\phantom{-}8$ |
| 23 | $[23, 23, w - 7]$ | $\phantom{-}8$ |
| 37 | $[37, 37, w + 10]$ | $-6$ |
| 37 | $[37, 37, w + 27]$ | $-6$ |
| 49 | $[49, 7, -7]$ | $-10$ |
| 59 | $[59, 59, w + 12]$ | $-10$ |
| 59 | $[59, 59, w + 47]$ | $-10$ |
| 67 | $[67, 67, w + 19]$ | $\phantom{-}10$ |
| 67 | $[67, 67, w + 48]$ | $\phantom{-}10$ |
Atkin-Lehner eigenvalues
| Norm | Prime | Eigenvalue |
|---|---|---|
| $2$ | $[2, 2, w]$ | $-1$ |
| $13$ | $[13, 13, w]$ | $1$ |