Atkin-Lehner |
2- 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
81168cg |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-1548169314116352 = -1 · 28 · 3 · 192 · 895 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58237,5711687] |
[a1,a2,a3,a4,a6] |
Generators |
[-2787:88046:27] |
Generators of the group modulo torsion |
j |
-85327336347394048/6047536383267 |
j-invariant |
L |
10.816453328237 |
L(r)(E,1)/r! |
Ω |
0.46789891757521 |
Real period |
R |
5.7792681931876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000333 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20292e1 |
Quadratic twists by: -4 |