Atkin-Lehner |
5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
86975i |
Isogeny class |
Conductor |
86975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-380515625 = -1 · 56 · 73 · 71 |
Discriminant |
Eigenvalues |
1 3 5+ 7- -3 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-667,6866] |
[a1,a2,a3,a4,a6] |
j |
-6128487/71 |
j-invariant |
L |
6.7974187175484 |
L(r)(E,1)/r! |
Ω |
1.6993546966831 |
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 |
3479e1 86975j1 |
Quadratic twists by: 5 -7 |