Newform orbit 46800.2.a.fh

• Label: 46800.2.a.fh
• Level: $46800$
• Weight: $2$
• Character orbit: 46800.a
• Self dual: yes
• Analytic conductor: $373.700$
• Dimension: $1$

Newspace parameters

Level:	$N$	$=$	$46800 = 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	46800.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$373.699881460$
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^7 - q^13 + 2 * q^17 + 2 * q^29 + 4 * q^31 - 6 * q^37 + 6 * q^41 + 4 * q^43 + 4 * q^47 + 9 * q^49 - 10 * q^53 - 2 * q^61 + 8 * q^67 + 4 * q^71 + 6 * q^73 + 8 * q^79 - 8 * q^83 + 6 * q^89 - 4 * q^91 + 14 * q^97

Atkin-Lehner signs

$p$	Sign
$2$	$+1$
$3$	$-1$
$5$	$+1$
$13$	$+1$

Inner twists

Inner twists of this newform have not been computed.

Twists

Twists of this newform have not been computed.