Atkin-Lehner |
2- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44044f |
Isogeny class |
Conductor |
44044 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
170011503619925968 = 24 · 72 · 112 · 1311 |
Discriminant |
Eigenvalues |
2- -3 2 7+ 11- 13+ 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147664,-9135467] |
[a1,a2,a3,a4,a6] |
Generators |
[-9545:162736:125] |
Generators of the group modulo torsion |
j |
183925626941472768/87815859307813 |
j-invariant |
L |
4.1701033797703 |
L(r)(E,1)/r! |
Ω |
0.25530600184928 |
Real period |
R |
8.1668729868648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44044s1 |
Quadratic twists by: -11 |