Newform orbit 11048.2.a.c

• Label: 11048.2.a.c
• Level: $11048$
• Weight: $2$
• Character orbit: 11048.a
• Self dual: yes
• Analytic conductor: $88.219$
• Dimension: $86$
• CM: no
• Inner twists: $1$

Newspace parameters

Level:	\( N \)	\(=\)	\( 11048 = 2^{3} \cdot 1381 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	11048.a (trivial)

Newform invariants

Self dual:	yes
Analytic conductor:	\(88.2187241531\)
Dimension:	\(86\)
Twist minimal:	yes
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.

\(\operatorname{Tr}(f)(q) = \) 86 * q - 8 * q^3 + 3 * q^5 - 36 * q^7 + 88 * q^9 - 10 * q^11 - 37 * q^13 - 44 * q^15 - 3 * q^17 - 36 * q^19 - 56 * q^23 + 73 * q^25 - 29 * q^27 + 9 * q^29 - 61 * q^31 - 34 * q^33 - 26 * q^35 - 37 * q^37 - 51 * q^39 + 12 * q^41 - 45 * q^43 - 2 * q^45 - 115 * q^47 + 82 * q^49 - 15 * q^51 - 8 * q^53 - 94 * q^55 - 35 * q^57 - 33 * q^59 - 16 * q^61 - 138 * q^63 - 8 * q^65 - 75 * q^67 + 8 * q^69 - 105 * q^71 - 66 * q^73 - 43 * q^75 + 6 * q^77 - 72 * q^79 + 82 * q^81 - 54 * q^83 - 42 * q^85 - 121 * q^87 + 30 * q^89 - 42 * q^91 - 39 * q^93 - 103 * q^95 - 91 * q^97 - 25 * q^99

Atkin-Lehner signs

\( p \)	Sign
\(2\)	\( -1 \)
\(1381\)	\( -1 \)

Inner twists

This newform does not admit any (nontrivial) inner twists.

Twists

Twists of this newform have not been computed.