Atkin-Lehner |
5- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
70525bc |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4573440 |
Modular degree for the optimal curve |
Δ |
-872113056907421875 = -1 · 58 · 78 · 13 · 313 |
Discriminant |
Eigenvalues |
2 2 5- 7- 4 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-15666708,-23862749807] |
[a1,a2,a3,a4,a6] |
Generators |
[696836338435194:66939111630685963:64096048008] |
Generators of the group modulo torsion |
j |
-1088671746644541460480/2232609425683 |
j-invariant |
L |
20.108074237555 |
L(r)(E,1)/r! |
Ω |
0.037942423398816 |
Real period |
R |
22.081784754712 |
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 |
70525e1 |
Quadratic twists by: 5 |