Newspace parameters
| Level: | \( N \) | \(=\) | \( 20339 = 11 \cdot 43^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 20339.a (trivial) |
Newform invariants
| Self dual: | yes |
| Analytic conductor: | \(162.407732671\) |
| Dimension: | \(11\) |
| Coefficient field: | \(\mathbb{Q}[x]/(x^{11} - \cdots)\) |
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| Defining polynomial: |
\( x^{11} - x^{10} - 17x^{9} + 15x^{8} + 102x^{7} - 77x^{6} - 255x^{5} + 150x^{4} + 248x^{3} - 59x^{2} - 93x - 18 \)
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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 |
|---|---|
| \(11\) | \( +1 \) |
| \(43\) | \( -1 \) |
Inner twists
Inner twists of this newform have not been computed.
Twists
Twists of this newform have not been computed.