Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190h |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
14126226660 = 22 · 38 · 5 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18495,-963495] |
[a1,a2,a3,a4,a6] |
j |
959781554388721/19377540 |
j-invariant |
L |
0.81877654242189 |
L(r)(E,1)/r! |
Ω |
0.40938827121094 |
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 |
65520cw1 2730bb1 40950ep1 57330cu1 |
Quadratic twists by: -4 -3 5 -7 |