Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950br |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
185328 |
Modular degree for the optimal curve |
Δ |
-4668312320000 = -1 · 211 · 54 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 5 7 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6967,248541] |
[a1,a2,a3,a4,a6] |
j |
-508660425/63488 |
j-invariant |
L |
2.2485268500932 |
L(r)(E,1)/r! |
Ω |
0.74950895320785 |
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 |
75950cn1 1550e1 |
Quadratic twists by: 5 -7 |