Newspace parameters
| Level: | \( N \) | \(=\) | \( 48552 = 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 48552.a (trivial) |
Newform invariants
| Self dual: | yes |
| Analytic conductor: | \(387.689671894\) |
| Dimension: | \(14\) |
| Coefficient field: | \(\mathbb{Q}[x]/(x^{14} - \cdots)\) |
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| Defining polynomial: |
\( x^{14} - 46 x^{12} - 12 x^{11} + 776 x^{10} + 308 x^{9} - 5914 x^{8} - 2052 x^{7} + 20925 x^{6} + \cdots - 128 \)
|
| 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 |
|---|---|
| \(2\) | \( -1 \) |
| \(3\) | \( -1 \) |
| \(7\) | \( +1 \) |
| \(17\) | \( +1 \) |
Inner twists
Inner twists of this newform have not been computed.
Twists
Twists of this newform have not been computed.