Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784bz |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
322004972470272 = 229 · 3 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -3 13+ -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73064,-7528080] |
[a1,a2,a3,a4,a6] |
Generators |
[-1174:883:8] |
Generators of the group modulo torsion |
j |
368728437337/2752512 |
j-invariant |
L |
3.4636046789249 |
L(r)(E,1)/r! |
Ω |
0.2905150536387 |
Real period |
R |
5.9611449312993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098j1 56784bj1 |
Quadratic twists by: -4 13 |