Atkin-Lehner |
2- 3- 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290cf |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
128081217600 = 26 · 39 · 52 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10337,-401551] |
[a1,a2,a3,a4,a6] |
j |
167548422911689/175694400 |
j-invariant |
L |
5.6821513389571 |
L(r)(E,1)/r! |
Ω |
0.47351261174372 |
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 |
17430l1 |
Quadratic twists by: -3 |