Atkin-Lehner |
2+ 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190j |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
6722820 = 22 · 32 · 5 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-198,-1152] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:6:1] [-66:51:8] |
Generators of the group modulo torsion |
j |
393832837/3060 |
j-invariant |
L |
6.8500248610274 |
L(r)(E,1)/r! |
Ω |
1.2724815619525 |
Real period |
R |
2.6916008317894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86190cf1 |
Quadratic twists by: 13 |