Atkin-Lehner |
2+ 5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
62320c |
Isogeny class |
Conductor |
62320 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
1427468473596050000 = 24 · 55 · 198 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1794482,-923457681] |
[a1,a2,a3,a4,a6] |
Generators |
[-20859:36080:27] |
Generators of the group modulo torsion |
j |
39941194472771891337216/89216779599753125 |
j-invariant |
L |
3.2195002048511 |
L(r)(E,1)/r! |
Ω |
0.13045870574431 |
Real period |
R |
4.9356617275024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31160e1 |
Quadratic twists by: -4 |