Atkin-Lehner |
2+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
1102a |
Isogeny class |
Conductor |
1102 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-670016 = -1 · 26 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ -1 -3 -4 -5 -7 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29,61] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:11:1] [-1:10:1] |
Generators of the group modulo torsion |
j |
-2845178713/670016 |
j-invariant |
L |
1.6238487759564 |
L(r)(E,1)/r! |
Ω |
2.7390682124438 |
Real period |
R |
0.14821178682024 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8816k1 35264k1 9918o1 27550v1 |
Quadratic twists by: -4 8 -3 5 |