Newform orbit 20400.2.a.p

• Label: 20400.2.a.p
• Level: $20400$
• Weight: $2$
• Character orbit: 20400.a
• Self dual: yes
• Analytic conductor: $162.895$
• Dimension: $1$

Newspace parameters

Level:	$N$	$=$	$20400 = 2^{4} \cdot 3 \cdot 5^{2} \cdot 17$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	20400.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$162.894820123$
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 - 2 * q^11 + 5 * q^13 - q^17 + 7 * q^19 + q^21 + 8 * q^23 - q^27 + 7 * q^31 + 2 * q^33 - 6 * q^37 - 5 * q^39 + 6 * q^41 + 5 * q^43 + 12 * q^47 - 6 * q^49 + q^51 - 2 * q^53 - 7 * q^57 - 2 * q^59 + q^61 - q^63 + 5 * q^67 - 8 * q^69 + 6 * q^71 + 6 * q^73 + 2 * q^77 + 8 * q^79 + q^81 + 12 * q^83 - 14 * q^89 - 5 * q^91 - 7 * q^93 + 11 * q^97 - 2 * q^99

Atkin-Lehner signs

$p$	Sign
$2$	$+1$
$3$	$+1$
$5$	$-1$
$17$	$+1$

Inner twists

Inner twists of this newform have not been computed.

Twists

Twists of this newform have not been computed.