Newform orbit 12240.2.a.bo

• Label: 12240.2.a.bo
• Level: $12240$
• Weight: $2$
• Character orbit: 12240.a
• Self dual: yes
• Analytic conductor: $97.737$
• Dimension: $1$

Newspace parameters

Level:	$N$	$=$	$12240 = 2^{4} \cdot 3^{2} \cdot 5 \cdot 17$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	12240.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$97.7368920740$
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^5 - 4 * q^11 + 6 * q^13 + q^17 - 4 * q^19 - 8 * q^23 + q^25 + 6 * q^29 - 4 * q^31 + 2 * q^37 - 6 * q^41 + 4 * q^43 + 4 * q^47 - 7 * q^49 - 10 * q^53 - 4 * q^55 + 12 * q^59 + 6 * q^61 + 6 * q^65 + 4 * q^67 + 14 * q^73 + 4 * q^79 + 16 * q^83 + q^85 - 10 * q^89 - 4 * q^95 + 6 * q^97

Atkin-Lehner signs

$p$	Sign
$2$	$+1$
$3$	$-1$
$5$	$-1$
$17$	$-1$

Inner twists

Inner twists of this newform have not been computed.

Twists

Twists of this newform have not been computed.