Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950cn |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
926640 |
Modular degree for the optimal curve |
Δ |
-72942380000000000 = -1 · 211 · 510 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 5 -7 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-174180,30893447] |
[a1,a2,a3,a4,a6] |
j |
-508660425/63488 |
j-invariant |
L |
3.6870965164895 |
L(r)(E,1)/r! |
Ω |
0.33519059382349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75950br1 1550f1 |
Quadratic twists by: 5 -7 |