Newform orbit 42432.2.a.e

• Label: 42432.2.a.e
• Level: $42432$
• Weight: $2$
• Character orbit: 42432.a
• Self dual: yes
• Analytic conductor: $338.821$
• Dimension: $1$

Newspace parameters

Level:	$N$	$=$	$42432 = 2^{6} \cdot 3 \cdot 13 \cdot 17$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	42432.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$338.821225857$
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^5 + 4 * q^7 + q^9 - q^13 + 2 * q^15 + q^17 + 4 * q^19 - 4 * q^21 - q^25 - q^27 - 6 * q^29 - 4 * q^31 - 8 * q^35 + 6 * q^37 + q^39 - 2 * q^41 - 4 * q^43 - 2 * q^45 + 9 * q^49 - q^51 + 10 * q^53 - 4 * q^57 - 4 * q^59 - 14 * q^61 + 4 * q^63 + 2 * q^65 - 12 * q^67 + 12 * q^71 + 14 * q^73 + q^75 + q^81 + 12 * q^83 - 2 * q^85 + 6 * q^87 + 2 * q^89 - 4 * q^91 + 4 * q^93 - 8 * q^95 + 14 * q^97

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.