Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920ev |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
2024615250000 = 24 · 37 · 56 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32952,-2301329] |
[a1,a2,a3,a4,a6] |
Generators |
[1397:51750:1] |
Generators of the group modulo torsion |
j |
339251313639424/173578125 |
j-invariant |
L |
8.3313058697625 |
L(r)(E,1)/r! |
Ω |
0.3543581671247 |
Real period |
R |
1.9592478778096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28980f1 38640cs1 |
Quadratic twists by: -4 -3 |