Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190bj |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
1.7347076217329E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13811333,-18708808323] |
[a1,a2,a3,a4,a6] |
j |
399671282266555297146121/23795714975760000000 |
j-invariant |
L |
3.930285617238 |
L(r)(E,1)/r! |
Ω |
0.07860571234476 |
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 |
65520cp1 2730i1 40950bi1 57330fi1 |
Quadratic twists by: -4 -3 5 -7 |