Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384cj |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
62092339165584 = 24 · 311 · 73 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 2 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-478659,127463411] |
[a1,a2,a3,a4,a6] |
Generators |
[73:9639:1] |
Generators of the group modulo torsion |
j |
1039812152065376512/5323417281 |
j-invariant |
L |
4.7678748393815 |
L(r)(E,1)/r! |
Ω |
0.5514719624738 |
Real period |
R |
0.12007951071107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37128b1 |
Quadratic twists by: -3 |