Atkin-Lehner |
3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63063b |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
5.607514814245E+19 |
Discriminant |
Eigenvalues |
1 3+ -3 7+ 11+ 13+ 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-971826,78807203] |
[a1,a2,a3,a4,a6] |
Generators |
[-2785622:13164047:2744] |
Generators of the group modulo torsion |
j |
894569099571/494190983 |
j-invariant |
L |
4.3330599012654 |
L(r)(E,1)/r! |
Ω |
0.17233377632857 |
Real period |
R |
12.571708209074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63063d1 63063g1 |
Quadratic twists by: -3 -7 |