Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800dy |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-14008466430000 = -1 · 24 · 35 · 54 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5717,-67012] |
[a1,a2,a3,a4,a6] |
Generators |
[164:2304:1] |
Generators of the group modulo torsion |
j |
358400/243 |
j-invariant |
L |
8.0273425327842 |
L(r)(E,1)/r! |
Ω |
0.3997619104554 |
Real period |
R |
4.0160617221991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400dc1 58800e1 58800by1 |
Quadratic twists by: -4 5 -7 |