Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117624w |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
1604907023616 = 28 · 32 · 134 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 -6 13+ 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2929,2003] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:174:1] |
Generators of the group modulo torsion |
j |
380204032/219501 |
j-invariant |
L |
11.371874727581 |
L(r)(E,1)/r! |
Ω |
0.71753302796205 |
Real period |
R |
0.66035721594126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020224 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117624ca1 |
Quadratic twists by: 13 |