Newform orbit 47600.2.a.bd

• Label: 47600.2.a.bd
• Level: $47600$
• Weight: $2$
• Character orbit: 47600.a
• Self dual: yes
• Analytic conductor: $380.088$
• Dimension: $1$

Newspace parameters

Level:	$N$	$=$	$47600 = 2^{4} \cdot 5^{2} \cdot 7 \cdot 17$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	47600.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$380.087913621$
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 - 2 * q^9 - 6 * q^11 + 7 * q^13 - q^17 - 5 * q^19 + q^21 + 6 * q^23 - 5 * q^27 + 3 * q^29 - 5 * q^31 - 6 * q^33 - 2 * q^37 + 7 * q^39 - 6 * q^41 + 8 * q^43 + 3 * q^47 + q^49 - q^51 + 3 * q^53 - 5 * q^57 + 3 * q^59 - q^61 - 2 * q^63 + 8 * q^67 + 6 * q^69 - 15 * q^71 + 13 * q^73 - 6 * q^77 + 4 * q^79 + q^81 - 6 * q^83 + 3 * q^87 - 15 * q^89 + 7 * q^91 - 5 * q^93 - 17 * q^97 + 12 * q^99

Atkin-Lehner signs

$p$	Sign
$2$	$-1$
$5$	$+1$
$7$	$-1$
$17$	$+1$

Inner twists

Inner twists of this newform have not been computed.

Twists

Twists of this newform have not been computed.