Newform orbit 11025.2.a.w

• Label: 11025.2.a.w
• Level: $11025$
• Weight: $2$
• Character orbit: 11025.a
• Self dual: yes
• Analytic conductor: $88.035$
• Dimension: $1$

Newspace parameters

Level:	$N$	$=$	$11025 = 3^{2} \cdot 5^{2} \cdot 7^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	11025.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$88.0350682285$
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 - 2 * q^4 + q^13 + 4 * q^16 + 6 * q^17 + 5 * q^19 + 6 * q^23 + 6 * q^29 + 5 * q^31 + 7 * q^37 - 12 * q^41 + q^43 + 6 * q^47 - 2 * q^52 + 6 * q^59 + 2 * q^61 - 8 * q^64 + 7 * q^67 - 12 * q^68 - 12 * q^71 - 11 * q^73 - 10 * q^76 - 13 * q^79 - 12 * q^83 - 6 * q^89 - 12 * q^92 + 10 * q^97

Atkin-Lehner signs

$p$	Sign
$3$	$-1$
$5$	$+1$
$7$	$+1$

Inner twists

Inner twists of this newform have not been computed.

Twists

Twists of this newform have not been computed.