Atkin-Lehner |
2- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72200bf |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
1.9159582055628E+20 |
Discriminant |
Eigenvalues |
2- 2 5- 2 4 0 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5445083,-4843147588] |
[a1,a2,a3,a4,a6] |
j |
12144109568/130321 |
j-invariant |
L |
6.3293621124481 |
L(r)(E,1)/r! |
Ω |
0.098896283555208 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72200t1 3800b1 |
Quadratic twists by: 5 -19 |