Atkin-Lehner |
2+ 5- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54050d |
Isogeny class |
Conductor |
54050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
12729856000000000 = 218 · 59 · 232 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5- -3 -3 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-334950,74276500] |
[a1,a2,a3,a4,a6] |
Generators |
[124:5826:1] [285:1295:1] |
Generators of the group modulo torsion |
j |
2127823717627061/6517686272 |
j-invariant |
L |
5.2674972609769 |
L(r)(E,1)/r! |
Ω |
0.40100187217495 |
Real period |
R |
1.6419802582242 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54050m1 |
Quadratic twists by: 5 |