Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39780k |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-1.1594365259344E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 5 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4247013,-3372767687] |
[a1,a2,a3,a4,a6] |
Generators |
[2278335424897297656:-15746529981069984577:948789909877447] |
Generators of the group modulo torsion |
j |
-726318275968040118016/994029943359375 |
j-invariant |
L |
6.2873311494979 |
L(r)(E,1)/r! |
Ω |
0.052579085726051 |
Real period |
R |
29.894639012251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13260o1 |
Quadratic twists by: -3 |