Atkin-Lehner |
2- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
126736h |
Isogeny class |
Conductor |
126736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
181171547732086784 = 212 · 897 |
Discriminant |
Eigenvalues |
2- 2 -2 2 4 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-192744,-25262416] |
[a1,a2,a3,a4,a6] |
j |
389017/89 |
j-invariant |
L |
3.7055713737882 |
L(r)(E,1)/r! |
Ω |
0.23159829399515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7921a1 1424f1 |
Quadratic twists by: -4 89 |