Newform orbit 25410.2.a.fk

• Label: 25410.2.a.fk
• Level: $25410$
• Weight: $2$
• Character orbit: 25410.a
• Self dual: yes
• Analytic conductor: $202.900$
• Dimension: $4$

Newspace parameters

Level:	\( N \)	\(=\)	\( 25410 = 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	25410.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	\(202.899871536\)
Dimension:	\(4\)
Coefficient field:	4.4.2525.1
Defining polynomial:	\( x^{4} - 2x^{3} - 4x^{2} + 5x + 5 \)
Twist minimal:	not computed
Fricke sign:	\(+1\)
Sato-Tate group:	$\mathrm{SU}(2)$

$q$-expansion

The algebraic \(q\)-expansion of this newform has not been computed, but we have computed the trace expansion.

\(\operatorname{Tr}(f)(q) = \) 4 * q + 4 * q^2 + 4 * q^3 + 4 * q^4 - 4 * q^5 + 4 * q^6 + 4 * q^7 + 4 * q^8 + 4 * q^9 - 4 * q^10 + 4 * q^12 - 11 * q^13 + 4 * q^14 - 4 * q^15 + 4 * q^16 + q^17 + 4 * q^18 - 8 * q^19 - 4 * q^20 + 4 * q^21 - 4 * q^23 + 4 * q^24 + 4 * q^25 - 11 * q^26 + 4 * q^27 + 4 * q^28 - 5 * q^29 - 4 * q^30 + q^31 + 4 * q^32 + q^34 - 4 * q^35 + 4 * q^36 + 5 * q^37 - 8 * q^38 - 11 * q^39 - 4 * q^40 + q^41 + 4 * q^42 - 25 * q^43 - 4 * q^45 - 4 * q^46 + 3 * q^47 + 4 * q^48 + 4 * q^49 + 4 * q^50 + q^51 - 11 * q^52 - 19 * q^53 + 4 * q^54 + 4 * q^56 - 8 * q^57 - 5 * q^58 - 13 * q^59 - 4 * q^60 - q^61 + q^62 + 4 * q^63 + 4 * q^64 + 11 * q^65 + 5 * q^67 + q^68 - 4 * q^69 - 4 * q^70 - 7 * q^71 + 4 * q^72 - 11 * q^73 + 5 * q^74 + 4 * q^75 - 8 * q^76 - 11 * q^78 - 14 * q^79 - 4 * q^80 + 4 * q^81 + q^82 - 24 * q^83 + 4 * q^84 - q^85 - 25 * q^86 - 5 * q^87 + q^89 - 4 * q^90 - 11 * q^91 - 4 * q^92 + q^93 + 3 * q^94 + 8 * q^95 + 4 * q^96 + 3 * q^97 + 4 * q^98

Atkin-Lehner signs

\( p \)	Sign
\(2\)	\( -1 \)
\(3\)	\( -1 \)
\(5\)	\( +1 \)
\(7\)	\( -1 \)
\(11\)	\( -1 \)

Inner twists

Inner twists of this newform have not been computed.

Twists

Twists of this newform have not been computed.