Atkin-Lehner |
2- 7+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
111202o |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
56899584 |
Modular degree for the optimal curve |
Δ |
-1.252511295788E+27 |
Discriminant |
Eigenvalues |
2- 1 3 7+ 3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38395874,-1705206298264] |
[a1,a2,a3,a4,a6] |
j |
-1296932198474723107753/259490544537392378756 |
j-invariant |
L |
8.4715340311322 |
L(r)(E,1)/r! |
Ω |
0.021611054936924 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554i1 |
Quadratic twists by: 13 |