Atkin-Lehner |
2- 3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
78384z |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
786438586368 = 215 · 32 · 232 · 712 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6688,-208396] |
[a1,a2,a3,a4,a6] |
j |
8078253774625/192001608 |
j-invariant |
L |
4.2294990363376 |
L(r)(E,1)/r! |
Ω |
0.52868737896125 |
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 |
9798h2 |
Quadratic twists by: -4 |