Atkin-Lehner |
2- 7- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
118286x |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
252720 |
Modular degree for the optimal curve |
Δ |
-4653132775424 = -1 · 215 · 76 · 17 · 71 |
Discriminant |
Eigenvalues |
2- -1 3 7- 0 1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7939,-294687] |
[a1,a2,a3,a4,a6] |
j |
-470366406433/39550976 |
j-invariant |
L |
3.7751657935832 |
L(r)(E,1)/r! |
Ω |
0.25167776358675 |
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 |
2414c1 |
Quadratic twists by: -7 |