Newspace parameters
| Level: | \( N \) | \(=\) | \( 32490 = 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 32490.a (trivial) |
Newform invariants
| Self dual: | yes |
| Analytic conductor: | \(259.433956167\) |
| Dimension: | \(12\) |
| Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
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| Defining polynomial: |
\( x^{12} - 6 x^{11} - 11 x^{10} + 100 x^{9} - 20 x^{8} - 516 x^{7} + 471 x^{6} + 846 x^{5} - 1190 x^{4} + \cdots + 1 \)
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| 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 |
|---|---|
| \(2\) | \( -1 \) |
| \(3\) | \( +1 \) |
| \(5\) | \( -1 \) |
| \(19\) | \( +1 \) |
Inner twists
Inner twists of this newform have not been computed.
Twists
Twists of this newform have not been computed.