Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800bn |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
1.224736768E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1384300,603858000] |
[a1,a2,a3,a4,a6] |
j |
71623315478889/2990080000 |
j-invariant |
L |
0.44648910291138 |
L(r)(E,1)/r! |
Ω |
0.22324435451724 |
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 |
116800a1 29200j1 23360z1 |
Quadratic twists by: -4 8 5 |