Atkin-Lehner |
2- 3+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650bl |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
6.87843554859E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2181751563,39223467988281] |
[a1,a2,a3,a4,a6] |
Generators |
[41731:4545590:1] |
Generators of the group modulo torsion |
j |
73505455541815405405673889001/440219875109760000 |
j-invariant |
L |
8.1688697062301 |
L(r)(E,1)/r! |
Ω |
0.090850948788321 |
Real period |
R |
2.2478768283828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530q4 |
Quadratic twists by: 5 |