Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400w |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-57408750000 = -1 · 24 · 38 · 57 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-383,-12012] |
[a1,a2,a3,a4,a6] |
j |
-24918016/229635 |
j-invariant |
L |
1.8865001150653 |
L(r)(E,1)/r! |
Ω |
0.47162502876633 |
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 |
4200d1 33600el1 25200bc1 1680d1 |
Quadratic twists by: -4 8 -3 5 |