Newform orbit 20280.2.a.s

• Label: 20280.2.a.s
• Level: $20280$
• Weight: $2$
• Character orbit: 20280.a
• Self dual: yes
• Analytic conductor: $161.937$
• Dimension: $1$

Newspace parameters

Level:	$N$	$=$	$20280 = 2^{3} \cdot 3 \cdot 5 \cdot 13^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	20280.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$161.936615299$
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^5 - 4 * q^7 + q^9 - q^15 + 2 * q^17 - 4 * q^21 + q^25 + q^27 - 2 * q^29 + 4 * q^31 + 4 * q^35 - 6 * q^37 + 6 * q^41 + 4 * q^43 - q^45 + 4 * q^47 + 9 * q^49 + 2 * q^51 - 10 * q^53 - 2 * q^61 - 4 * q^63 - 8 * q^67 - 4 * q^71 + 6 * q^73 + q^75 - 8 * q^79 + q^81 - 8 * q^83 - 2 * q^85 - 2 * q^87 + 6 * q^89 + 4 * q^93 + 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.