Newform orbit 44528.2.a.r

• Label: 44528.2.a.r
• Level: $44528$
• Weight: $2$
• Character orbit: 44528.a
• Self dual: yes
• Analytic conductor: $355.558$
• Dimension: $1$

Newspace parameters

Level:	$N$	$=$	$44528 = 2^{4} \cdot 11^{2} \cdot 23$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	44528.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$355.557870120$
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 - 2 * q^9 - 7 * q^13 - 2 * q^15 + 4 * q^17 - 6 * q^19 - 4 * q^21 + q^23 - q^25 - 5 * q^27 - 5 * q^29 - 3 * q^31 + 8 * q^35 + 2 * q^37 - 7 * q^39 + 9 * q^41 + 8 * q^43 + 4 * q^45 + q^47 + 9 * q^49 + 4 * q^51 - 6 * q^53 - 6 * q^57 + 8 * q^59 + 10 * q^61 + 8 * q^63 + 14 * q^65 - 2 * q^67 + q^69 + 13 * q^71 + 3 * q^73 - q^75 + 6 * q^79 + q^81 - 8 * q^85 - 5 * q^87 - 4 * q^89 + 28 * q^91 - 3 * q^93 + 12 * q^95 - 8 * q^97

Atkin-Lehner signs

$p$	Sign
$2$	$+1$
$11$	$-1$
$23$	$-1$

Inner twists

Inner twists of this newform have not been computed.

Twists

Twists of this newform have not been computed.