Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384du |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
17028191232 = 210 · 32 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 4 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2813,-58029] |
[a1,a2,a3,a4,a6] |
Generators |
[79:468:1] |
Generators of the group modulo torsion |
j |
2404846336000/16629093 |
j-invariant |
L |
6.8753725914019 |
L(r)(E,1)/r! |
Ω |
0.6558057721597 |
Real period |
R |
1.747309158276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72384s1 18096a1 |
Quadratic twists by: -4 8 |