Newform orbit 16245.2.a.k

• Label: 16245.2.a.k
• Level: $16245$
• Weight: $2$
• Character orbit: 16245.a
• Self dual: yes
• Analytic conductor: $129.717$
• Dimension: $1$

Newspace parameters

Level:	$N$	$=$	$16245 = 3^{2} \cdot 5 \cdot 19^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	16245.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	$129.716978084$
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 - 2 * q^7 - 3 * q^8 + q^10 + 2 * q^11 + 4 * q^13 - 2 * q^14 - q^16 - 2 * q^17 - q^20 + 2 * q^22 + 4 * q^23 + q^25 + 4 * q^26 + 2 * q^28 + 4 * q^29 + 5 * q^32 - 2 * q^34 - 2 * q^35 - 3 * q^40 - 10 * q^43 - 2 * q^44 + 4 * q^46 - 12 * q^47 - 3 * q^49 + q^50 - 4 * q^52 - 2 * q^53 + 2 * q^55 + 6 * q^56 + 4 * q^58 + 4 * q^59 + 2 * q^61 + 7 * q^64 + 4 * q^65 + 16 * q^67 + 2 * q^68 - 2 * q^70 - 2 * q^73 - 4 * q^77 + 8 * q^79 - q^80 + 12 * q^83 - 2 * q^85 - 10 * q^86 - 6 * q^88 - 8 * q^91 - 4 * q^92 - 12 * q^94 + 16 * q^97 - 3 * q^98

Atkin-Lehner signs

$p$	Sign
$3$	$-1$
$5$	$-1$
$19$	$-1$

Inner twists

Inner twists of this newform have not been computed.

Twists

Twists of this newform have not been computed.