Atkin-Lehner |
2- 3+ 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14586j |
Isogeny class |
Conductor |
14586 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
4812668669952 = 212 · 37 · 11 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-84338,-9461761] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:97:1] |
Generators of the group modulo torsion |
j |
66342819962001390625/4812668669952 |
j-invariant |
L |
5.3122995801675 |
L(r)(E,1)/r! |
Ω |
0.28015320404709 |
Real period |
R |
1.5801769363531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116688u1 43758f1 |
Quadratic twists by: -4 -3 |