Newspace parameters
| Level: | \( N \) | \(=\) | \( 10304 = 2^{6} \cdot 7 \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 10304.a (trivial) |
Newform invariants
| Self dual: | yes |
| Analytic conductor: | \(82.2778542427\) |
| Dimension: | \(5\) |
| Coefficient field: | 5.5.6963152.1 |
|
|
|
| Defining polynomial: |
\( x^{5} - 2x^{4} - 10x^{3} + 10x^{2} + 29x + 10 \)
|
| 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 |
|---|---|
| \(2\) | \( -1 \) |
| \(7\) | \( -1 \) |
| \(23\) | \( -1 \) |
Inner twists
Inner twists of this newform have not been computed.
Twists
Twists of this newform have not been computed.