Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370bl |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
22881979137600 = 26 · 37 · 52 · 113 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25773613,50360790056] |
[a1,a2,a3,a4,a6] |
Generators |
[2932:-1372:1] |
Generators of the group modulo torsion |
j |
385392122382860622756377/4657435200 |
j-invariant |
L |
7.362101136754 |
L(r)(E,1)/r! |
Ω |
0.3417517679935 |
Real period |
R |
1.5387319605643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999794629 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95370k1 |
Quadratic twists by: 17 |