Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
127896u |
Isogeny class |
Conductor |
127896 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1681920 |
Modular degree for the optimal curve |
Δ |
-2477445402298616832 = -1 · 210 · 3 · 738 |
Discriminant |
Eigenvalues |
2- 3- 2 1 2 2 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129672,77788992] |
[a1,a2,a3,a4,a6] |
Generators |
[167763424:8048111592:1030301] |
Generators of the group modulo torsion |
j |
-292/3 |
j-invariant |
L |
11.796844829552 |
L(r)(E,1)/r! |
Ω |
0.21947066854333 |
Real period |
R |
8.958558417323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127896x1 |
Quadratic twists by: 73 |