Newform orbit 24640.2.a.z

• Label: 24640.2.a.z
• Level: $24640$
• Weight: $2$
• Character orbit: 24640.a
• Self dual: yes
• Analytic conductor: $196.751$
• Dimension: $1$

Newspace parameters

Level:	$N$	$=$	$24640 = 2^{6} \cdot 5 \cdot 7 \cdot 11$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	24640.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$196.751390580$
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 + q^7 - 3 * q^9 - q^11 + 2 * q^13 + 2 * q^17 + 4 * q^19 + 2 * q^23 + q^25 + 6 * q^29 - 6 * q^31 - q^35 - 10 * q^37 - 8 * q^43 + 3 * q^45 + 4 * q^47 + q^49 - 10 * q^53 + q^55 + 10 * q^59 + 8 * q^61 - 3 * q^63 - 2 * q^65 - 2 * q^67 - 12 * q^71 - 2 * q^73 - q^77 + 8 * q^79 + 9 * q^81 - 4 * q^83 - 2 * q^85 - 14 * q^89 + 2 * q^91 - 4 * q^95 - 2 * q^97 + 3 * q^99

Atkin-Lehner signs

$p$	Sign
$2$	$-1$
$5$	$+1$
$7$	$-1$
$11$	$+1$

Inner twists

Inner twists of this newform have not been computed.

Twists

Twists of this newform have not been computed.