Atkin-Lehner |
3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83205i |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28758400 |
Modular degree for the optimal curve |
Δ |
-6.7609262320958E+25 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11374470,395882798575] |
[a1,a2,a3,a4,a6] |
j |
-444194947/184528125 |
j-invariant |
L |
0.10031526608946 |
L(r)(E,1)/r! |
Ω |
0.050157609915906 |
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 |
27735e1 83205p1 |
Quadratic twists by: -3 -43 |