Atkin-Lehner |
2- 5+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119990n |
Isogeny class |
Conductor |
119990 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
2965248 |
Modular degree for the optimal curve |
Δ |
1459794990419155000 = 23 · 54 · 138 · 713 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 -6 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-336736,47695816] |
[a1,a2,a3,a4,a6] |
Generators |
[9684:24733:64] |
Generators of the group modulo torsion |
j |
5176612067809/1789555000 |
j-invariant |
L |
5.9230262970835 |
L(r)(E,1)/r! |
Ω |
0.2472755289676 |
Real period |
R |
3.9921906703849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998962184 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
119990f1 |
Quadratic twists by: 13 |