Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400cd |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2939328000000 = 212 · 38 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15608,-751212] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:18:1] |
Generators of the group modulo torsion |
j |
6570725617/45927 |
j-invariant |
L |
4.9389900689484 |
L(r)(E,1)/r! |
Ω |
0.42731030540685 |
Real period |
R |
1.4447902398018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
525b4 33600em3 25200dx3 336e3 |
Quadratic twists by: -4 8 -3 5 |