Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850ca |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
712704 |
Modular degree for the optimal curve |
Δ |
-32235937500000000 = -1 · 28 · 3 · 514 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-72588,11451792] |
[a1,a2,a3,a4,a6] |
j |
-2707064176380409/2063100000000 |
j-invariant |
L |
5.4358223212024 |
L(r)(E,1)/r! |
Ω |
0.33973889509333 |
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 |
8970b1 |
Quadratic twists by: 5 |