Atkin-Lehner |
3+ 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
116571g |
Isogeny class |
Conductor |
116571 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-149327451 = -1 · 32 · 73 · 13 · 612 |
Discriminant |
Eigenvalues |
-2 3+ -3 7- 0 13- -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-72,-610] |
[a1,a2,a3,a4,a6] |
Generators |
[12:10:1] [14:30:1] |
Generators of the group modulo torsion |
j |
-122023936/435357 |
j-invariant |
L |
4.3688254065207 |
L(r)(E,1)/r! |
Ω |
0.75085531195168 |
Real period |
R |
0.72730813499751 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999858367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116571m1 |
Quadratic twists by: -7 |