Newform orbit 37030.2.a.q

• Label: 37030.2.a.q
• Level: $37030$
• Weight: $2$
• Character orbit: 37030.a
• Self dual: yes
• Analytic conductor: $295.686$
• Dimension: $1$

Newspace parameters

Level:	$N$	$=$	$37030 = 2 \cdot 5 \cdot 7 \cdot 23^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	37030.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$295.686038685$
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^2 + q^4 - q^5 + q^7 + q^8 - 3 * q^9 - q^10 + 4 * q^11 - 2 * q^13 + q^14 + q^16 + 6 * q^17 - 3 * q^18 + 4 * q^19 - q^20 + 4 * q^22 + q^25 - 2 * q^26 + q^28 - 2 * q^29 + 4 * q^31 + q^32 + 6 * q^34 - q^35 - 3 * q^36 + 2 * q^37 + 4 * q^38 - q^40 - 6 * q^41 + 8 * q^43 + 4 * q^44 + 3 * q^45 + 8 * q^47 + q^49 + q^50 - 2 * q^52 - 14 * q^53 - 4 * q^55 + q^56 - 2 * q^58 + 12 * q^59 - 6 * q^61 + 4 * q^62 - 3 * q^63 + q^64 + 2 * q^65 + 8 * q^67 + 6 * q^68 - q^70 - 3 * q^72 - 2 * q^73 + 2 * q^74 + 4 * q^76 + 4 * q^77 + 4 * q^79 - q^80 + 9 * q^81 - 6 * q^82 - 4 * q^83 - 6 * q^85 + 8 * q^86 + 4 * q^88 + 6 * q^89 + 3 * q^90 - 2 * q^91 + 8 * q^94 - 4 * q^95 + 14 * q^97 + q^98 - 12 * q^99

Atkin-Lehner signs

$p$	Sign
$2$	$-1$
$5$	$+1$
$7$	$-1$
$23$	$-1$

Inner twists

Inner twists of this newform have not been computed.

Twists

Twists of this newform have not been computed.