Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870p |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
5902788722688000 = 224 · 39 · 53 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-102780,12157776] |
[a1,a2,a3,a4,a6] |
j |
164711681450297281/8097103872000 |
j-invariant |
L |
0.84133587961351 |
L(r)(E,1)/r! |
Ω |
0.42066793980675 |
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 |
102960dj1 4290bb1 64350el1 |
Quadratic twists by: -4 -3 5 |