Atkin-Lehner |
2- 3+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310bj |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1430363610000 = 24 · 39 · 54 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3188,39367] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:343:1] |
Generators of the group modulo torsion |
j |
181995075963/72670000 |
j-invariant |
L |
5.9391633959453 |
L(r)(E,1)/r! |
Ω |
0.77427903334671 |
Real period |
R |
0.95882155207323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310c1 |
Quadratic twists by: -3 |