Atkin-Lehner |
2- 3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394co |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
3318911904 = 25 · 3 · 75 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2967,-62391] |
[a1,a2,a3,a4,a6] |
j |
23872622423353/27429024 |
j-invariant |
L |
3.2345909206916 |
L(r)(E,1)/r! |
Ω |
0.64691819646931 |
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 |
86394bk1 |
Quadratic twists by: -11 |