Atkin-Lehner |
2- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150bi |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-20184018944000000 = -1 · 218 · 56 · 174 · 59 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 -2 -2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,25062,-6660508] |
[a1,a2,a3,a4,a6] |
Generators |
[148:470:1] |
Generators of the group modulo torsion |
j |
111416568869159/1291777212416 |
j-invariant |
L |
10.947727725961 |
L(r)(E,1)/r! |
Ω |
0.18904534584014 |
Real period |
R |
0.80431376554905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2006b1 |
Quadratic twists by: 5 |