Newform orbit 43560.2.a.be

• Label: 43560.2.a.be
• Level: $43560$
• Weight: $2$
• Character orbit: 43560.a
• Self dual: yes
• Analytic conductor: $347.828$
• Dimension: $1$

Newspace parameters

Level:	$N$	$=$	$43560 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 11^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	43560.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$347.828351205$
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^7 + 6 * q^13 - 2 * q^17 + 4 * q^19 + 8 * q^23 + q^25 + 6 * q^29 - 4 * q^35 - 2 * q^37 + 2 * q^41 + 8 * q^43 + 9 * q^49 + 2 * q^53 - 4 * q^59 + 10 * q^61 - 6 * q^65 + 12 * q^67 + 16 * q^71 - 6 * q^73 - 8 * q^79 - 16 * q^83 + 2 * q^85 - 10 * q^89 + 24 * q^91 - 4 * q^95 + 10 * q^97

Atkin-Lehner signs

$p$	Sign
$2$	$-1$
$3$	$-1$
$5$	$+1$
$11$	$-1$

Inner twists

Inner twists of this newform have not been computed.

Twists

Twists of this newform have not been computed.