Newform orbit 23232.2.a.bo

• Label: 23232.2.a.bo
• Level: $23232$
• Weight: $2$
• Character orbit: 23232.a
• Self dual: yes
• Analytic conductor: $185.508$
• Dimension: $1$

Newspace parameters

Level:	$N$	$=$	$23232 = 2^{6} \cdot 3 \cdot 11^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	23232.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$185.508453976$
Dimension:	$1$
Coefficient field:	$\mathbb{Q}$
Coefficient ring:	$\mathbb{Z}$
Coefficient ring index:	$1$
Twist minimal:	not computed
Fricke sign:	$+1$
Sato-Tate group:	$\mathrm{SU}(2)$

$q$-expansion

$f(q)$

$=$

q - q^3 + 2 * q^5 + q^9 - 2 * q^13 - 2 * q^15 - 2 * q^17 + 4 * q^19 + 8 * q^23 - q^25 - q^27 + 6 * q^29 - 8 * q^31 - 6 * q^37 + 2 * q^39 + 6 * q^41 - 4 * q^43 + 2 * q^45 - 7 * q^49 + 2 * q^51 + 2 * q^53 - 4 * q^57 + 4 * q^59 - 2 * q^61 - 4 * q^65 - 4 * q^67 - 8 * q^69 - 8 * q^71 - 10 * q^73 + q^75 - 8 * q^79 + q^81 + 4 * q^83 - 4 * q^85 - 6 * q^87 - 6 * q^89 + 8 * q^93 + 8 * q^95 + 2 * q^97

Atkin-Lehner signs

$p$	Sign
$2$	$-1$
$3$	$+1$
$11$	$-1$

Inner twists

Inner twists of this newform have not been computed.

Twists

Twists of this newform have not been computed.