Newspace parameters
| Level: | \( N \) | \(=\) | \( 45486 = 2 \cdot 3^{2} \cdot 7 \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 45486.a (trivial) |
Newform invariants
| Self dual: | yes |
| Analytic conductor: | \(363.207538634\) |
| Dimension: | \(8\) |
| Coefficient field: | 8.8.19520000000.1 |
|
|
|
| Defining polynomial: |
\( x^{8} - 2x^{7} - 12x^{6} + 16x^{5} + 50x^{4} - 24x^{3} - 72x^{2} - 32x - 4 \)
|
| Twist minimal: | not computed |
| Fricke sign: | \(+1\) |
| Sato-Tate group: | $\mathrm{SU}(2)$ |
$q$-expansion
The algebraic \(q\)-expansion of this newform has not been computed, but we have computed the trace expansion.
Atkin-Lehner signs
| \( p \) | Sign |
|---|---|
| \(2\) | \( -1 \) |
| \(3\) | \( -1 \) |
| \(7\) | \( +1 \) |
| \(19\) | \( +1 \) |
Inner twists
Inner twists of this newform have not been computed.
Twists
Twists of this newform have not been computed.