Atkin-Lehner |
2+ 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
39760b |
Isogeny class |
Conductor |
39760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-7952000000 = -1 · 210 · 56 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -1 1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4816,-127120] |
[a1,a2,a3,a4,a6] |
j |
-12066279043396/7765625 |
j-invariant |
L |
1.1461293996557 |
L(r)(E,1)/r! |
Ω |
0.28653234991222 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19880i1 |
Quadratic twists by: -4 |