Newform orbit 10608.2.a.x

• Label: 10608.2.a.x
• Level: $10608$
• Weight: $2$
• Character orbit: 10608.a
• Self dual: yes
• Analytic conductor: $84.705$
• Dimension: $1$

Newspace parameters

Level:	$N$	$=$	$10608 = 2^{4} \cdot 3 \cdot 13 \cdot 17$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	10608.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$84.7053064642$
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 + 2 * q^7 + q^9 + 2 * q^11 - q^13 + q^17 + 8 * q^19 + 2 * q^21 - 5 * q^25 + q^27 - 6 * q^29 - 6 * q^31 + 2 * q^33 + 4 * q^37 - q^39 + 4 * q^41 + 4 * q^43 + 8 * q^47 - 3 * q^49 + q^51 - 6 * q^53 + 8 * q^57 + 8 * q^59 - 2 * q^61 + 2 * q^63 + 8 * q^67 + 6 * q^71 + 12 * q^73 - 5 * q^75 + 4 * q^77 - 4 * q^79 + q^81 + 12 * q^83 - 6 * q^87 + 6 * q^89 - 2 * q^91 - 6 * q^93 + 2 * q^99

Atkin-Lehner signs

$p$	Sign
$2$	$-1$
$3$	$-1$
$13$	$+1$
$17$	$-1$

Inner twists

Inner twists of this newform have not been computed.

Twists

Twists of this newform have not been computed.