Newform orbit 10944.2.a.bt

• Label: 10944.2.a.bt
• Level: $10944$
• Weight: $2$
• Character orbit: 10944.a
• Self dual: yes
• Analytic conductor: $87.388$
• Dimension: $1$

Newspace parameters

Level:	$N$	$=$	$10944 = 2^{6} \cdot 3^{2} \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	10944.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$87.3882799721$
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 - 3 * q^7 + 3 * q^11 + 6 * q^13 - 3 * q^17 - q^19 + 4 * q^23 - 4 * q^25 - 10 * q^29 - 2 * q^31 - 3 * q^35 - 8 * q^37 + 8 * q^41 - q^43 + 3 * q^47 + 2 * q^49 - 6 * q^53 + 3 * q^55 - 7 * q^61 + 6 * q^65 + 8 * q^67 + 12 * q^71 - 11 * q^73 - 9 * q^77 - 4 * q^83 - 3 * q^85 - 10 * q^89 - 18 * q^91 - q^95 - 2 * q^97

Atkin-Lehner signs

$p$	Sign
$2$	$-1$
$3$	$-1$
$19$	$+1$

Inner twists

Inner twists of this newform have not been computed.

Twists

Twists of this newform have not been computed.