Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700g |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
954720 |
Modular degree for the optimal curve |
Δ |
6117980407500000000 = 28 · 3 · 510 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -3 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-457708,6763912] |
[a1,a2,a3,a4,a6] |
j |
5200/3 |
j-invariant |
L |
0.60940800599132 |
L(r)(E,1)/r! |
Ω |
0.20313600182638 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50700bn1 50700f1 |
Quadratic twists by: 5 13 |