Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
86688bp |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
38043722304 = 26 · 38 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5421,-153340] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:16:1] [128:1118:1] |
Generators of the group modulo torsion |
j |
377619516352/815409 |
j-invariant |
L |
9.378487242012 |
L(r)(E,1)/r! |
Ω |
0.55646268545602 |
Real period |
R |
8.4268788248434 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000258 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86688u1 28896d1 |
Quadratic twists by: -4 -3 |