Newform orbit 25992.2.a.bb

• Label: 25992.2.a.bb
• Level: $25992$
• Weight: $2$
• Character orbit: 25992.a
• Self dual: yes
• Analytic conductor: $207.547$
• Dimension: $1$

Newspace parameters

Level:	$N$	$=$	$25992 = 2^{3} \cdot 3^{2} \cdot 19^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	25992.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$207.547164934$
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 + 4 * q^5 - 3 * q^11 - 2 * q^13 - 2 * q^17 - 6 * q^23 + 11 * q^25 - 4 * q^29 + 10 * q^31 - 2 * q^37 + 9 * q^41 - 4 * q^43 + 12 * q^47 - 7 * q^49 - 2 * q^53 - 12 * q^55 - q^59 - 8 * q^61 - 8 * q^65 - 9 * q^67 - 6 * q^71 - 9 * q^73 + 4 * q^79 + 5 * q^83 - 8 * q^85 - 18 * q^89 - 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.