Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
35728z |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
60672635098768 = 24 · 75 · 11 · 295 |
Discriminant |
Eigenvalues |
2- -1 2 7- 11- 1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12122,-347333] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:203:1] |
Generators of the group modulo torsion |
j |
12312957911772928/3792039693673 |
j-invariant |
L |
5.3954224783593 |
L(r)(E,1)/r! |
Ω |
0.46592354553075 |
Real period |
R |
0.46320238847024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8932a1 |
Quadratic twists by: -4 |