Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
117978i |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
47366216198848512 = 216 · 37 · 76 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 1 1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-397771,95957366] |
[a1,a2,a3,a4,a6] |
Generators |
[79:8024:1] |
Generators of the group modulo torsion |
j |
2477820004610424625/16862305517568 |
j-invariant |
L |
7.5186185621737 |
L(r)(E,1)/r! |
Ω |
0.35997386366461 |
Real period |
R |
0.24864961800697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117978s1 |
Quadratic twists by: 53 |