Base field \(\Q(\sqrt{106}) \)
Generator \(w\), with minimal polynomial \(x^{2} - 106\); narrow class number \(2\) and class number \(2\).
Form
| Weight: | $[2, 2]$ |
| Level: | $[1, 1, 1]$ |
| Dimension: | $1$ |
| CM: | no |
| Base change: | no |
| Newspace dimension: | $50$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
| Norm | Prime | Eigenvalue |
|---|---|---|
| 2 | $[2, 2, w]$ | $-1$ |
| 3 | $[3, 3, w + 1]$ | $-2$ |
| 3 | $[3, 3, w + 2]$ | $\phantom{-}3$ |
| 5 | $[5, 5, w + 1]$ | $\phantom{-}3$ |
| 5 | $[5, 5, w + 4]$ | $-2$ |
| 7 | $[7, 7, 3w + 31]$ | $\phantom{-}4$ |
| 7 | $[7, 7, -3w + 31]$ | $-1$ |
| 17 | $[17, 17, 2w + 21]$ | $-2$ |
| 17 | $[17, 17, -2w + 21]$ | $\phantom{-}8$ |
| 19 | $[19, 19, w + 7]$ | $-4$ |
| 19 | $[19, 19, w + 12]$ | $\phantom{-}1$ |
| 47 | $[47, 47, 24w - 247]$ | $\phantom{-}9$ |
| 47 | $[47, 47, -24w - 247]$ | $\phantom{-}4$ |
| 53 | $[53, 53, w]$ | $\phantom{-}2$ |
| 61 | $[61, 61, w + 17]$ | $\phantom{-}11$ |
| 61 | $[61, 61, w + 44]$ | $\phantom{-}1$ |
| 67 | $[67, 67, w + 21]$ | $-7$ |
| 67 | $[67, 67, w + 46]$ | $-2$ |
| 83 | $[83, 83, w + 40]$ | $\phantom{-}0$ |
| 83 | $[83, 83, w + 43]$ | $-15$ |
Atkin-Lehner eigenvalues
This form has no Atkin-Lehner eigenvalues since the level is \((1)\).