Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190bg |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
841210277806080 = 214 · 311 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-73148,-7467393] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:405:1] |
Generators of the group modulo torsion |
j |
59374229431741561/1153923563520 |
j-invariant |
L |
5.9183241565551 |
L(r)(E,1)/r! |
Ω |
0.29064454536325 |
Real period |
R |
0.72724130987147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520cy1 2730g1 40950bo1 57330ff1 |
Quadratic twists by: -4 -3 5 -7 |