Atkin-Lehner |
2+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
78416g |
Isogeny class |
Conductor |
78416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
169728 |
Modular degree for the optimal curve |
Δ |
142694143563088 = 24 · 139 · 292 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21970,1113879] |
[a1,a2,a3,a4,a6] |
j |
6912000/841 |
j-invariant |
L |
2.2434941800793 |
L(r)(E,1)/r! |
Ω |
0.56087354694974 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39208b1 78416f1 |
Quadratic twists by: -4 13 |