Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190bo |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
2535476580 = 22 · 37 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-887,10091] |
[a1,a2,a3,a4,a6] |
j |
105756712489/3478020 |
j-invariant |
L |
2.8735022158447 |
L(r)(E,1)/r! |
Ω |
1.4367511079223 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520ej1 2730l1 40950bt1 57330eo1 |
Quadratic twists by: -4 -3 5 -7 |