Newform orbit 33600.2.a.cl

• Label: 33600.2.a.cl
• Level: $33600$
• Weight: $2$
• Character orbit: 33600.a
• Self dual: yes
• Analytic conductor: $268.297$
• Dimension: $1$

Newspace parameters

Level:	$N$	$=$	$33600 = 2^{6} \cdot 3 \cdot 5^{2} \cdot 7$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	33600.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$268.297350792$
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 - q^7 + q^9 + 6 * q^11 + 2 * q^13 + 4 * q^17 + 6 * q^19 + q^21 - q^27 + 2 * q^29 - 10 * q^31 - 6 * q^33 + 4 * q^37 - 2 * q^39 + 2 * q^41 + 4 * q^43 + q^49 - 4 * q^51 - 6 * q^53 - 6 * q^57 + 8 * q^59 + 2 * q^61 - q^63 + 16 * q^67 + 10 * q^71 - 6 * q^73 - 6 * q^77 + 4 * q^79 + q^81 - 8 * q^83 - 2 * q^87 + 6 * q^89 - 2 * q^91 + 10 * q^93 - 2 * q^97 + 6 * q^99

Atkin-Lehner signs

$p$	Sign
$2$	$+1$
$3$	$+1$
$5$	$-1$
$7$	$+1$

Inner twists

Inner twists of this newform have not been computed.

Twists

Twists of this newform have not been computed.