Atkin-Lehner |
2- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
87100v |
Isogeny class |
Conductor |
87100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
71040 |
Modular degree for the optimal curve |
Δ |
435500000000 = 28 · 59 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 0 5- 1 -2 13- 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2375,-31250] |
[a1,a2,a3,a4,a6] |
Generators |
[-1500:6875:64] |
Generators of the group modulo torsion |
j |
2963088/871 |
j-invariant |
L |
5.8080350207533 |
L(r)(E,1)/r! |
Ω |
0.6993256103176 |
Real period |
R |
4.1525971215072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999792545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87100q1 |
Quadratic twists by: 5 |