Atkin-Lehner |
2+ 5- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
56650i |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
840320 |
Modular degree for the optimal curve |
Δ |
-1633550336000000000 = -1 · 226 · 59 · 112 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 11+ -2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-186326,-68860952] |
[a1,a2,a3,a4,a6] |
j |
-366277890882149/836377772032 |
j-invariant |
L |
0.85926453964461 |
L(r)(E,1)/r! |
Ω |
0.10740806739858 |
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 |
56650ba1 |
Quadratic twists by: 5 |