Atkin-Lehner |
2- 3+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
8268c |
Isogeny class |
Conductor |
8268 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
1768233901824 = 28 · 33 · 136 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8364,-284616] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:78:1] [-46:26:1] |
Generators of the group modulo torsion |
j |
252800391669712/6907163679 |
j-invariant |
L |
4.3553771357513 |
L(r)(E,1)/r! |
Ω |
0.50005333590338 |
Real period |
R |
1.9355167063815 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33072x2 24804g2 107484c2 |
Quadratic twists by: -4 -3 13 |