Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
16800by |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
123046875000000000 = 29 · 32 · 518 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-147008,-13681512] |
[a1,a2,a3,a4,a6] |
j |
43919722445768/15380859375 |
j-invariant |
L |
4.0132321107108 |
L(r)(E,1)/r! |
Ω |
0.25082700691942 |
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 |
16800f2 33600bc3 50400br3 3360f3 |
Quadratic twists by: -4 8 -3 5 |