Atkin-Lehner |
2- 3- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
8466l |
Isogeny class |
Conductor |
8466 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
9986899968 = 218 · 33 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-623,3513] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:61:1] |
Generators of the group modulo torsion |
j |
26744311392625/9986899968 |
j-invariant |
L |
7.0978649119959 |
L(r)(E,1)/r! |
Ω |
1.1776744769671 |
Real period |
R |
0.44644575520815 |
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 |
67728o1 25398e1 |
Quadratic twists by: -4 -3 |