Newform orbit 23104.2.a.r

• Label: 23104.2.a.r
• Level: $23104$
• Weight: $2$
• Character orbit: 23104.a
• Self dual: yes
• Analytic conductor: $184.486$
• Dimension: $1$

Newspace parameters

Level:	$N$	$=$	$23104 = 2^{6} \cdot 19^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	23104.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$184.486368830$
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 + 4 * q^7 - 2 * q^9 + 3 * q^11 + 2 * q^13 - 6 * q^17 - 4 * q^21 + 6 * q^23 - 5 * q^25 + 5 * q^27 + 2 * q^31 - 3 * q^33 - 10 * q^37 - 2 * q^39 - 9 * q^41 - 4 * q^43 + 9 * q^49 + 6 * q^51 + 6 * q^53 + 9 * q^59 + 4 * q^61 - 8 * q^63 + 7 * q^67 - 6 * q^69 - 6 * q^71 - q^73 + 5 * q^75 + 12 * q^77 - 4 * q^79 + q^81 + 3 * q^83 - 6 * q^89 + 8 * q^91 - 2 * q^93 - 17 * q^97 - 6 * q^99

Atkin-Lehner signs

$p$	Sign
$2$	$-1$
$19$	$-1$

Inner twists

Inner twists of this newform have not been computed.

Twists

Twists of this newform have not been computed.