Atkin-Lehner |
2- 5+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
50150bl |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
-3942191200 = -1 · 25 · 52 · 174 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ 5 3 3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-288,-3679] |
[a1,a2,a3,a4,a6] |
j |
-105695235625/157687648 |
j-invariant |
L |
11.003424512823 |
L(r)(E,1)/r! |
Ω |
0.55017122561892 |
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 |
50150o1 |
Quadratic twists by: 5 |