Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400dm |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
892800 |
Modular degree for the optimal curve |
Δ |
-395628300000000 = -1 · 28 · 310 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-529333,-148411537] |
[a1,a2,a3,a4,a6] |
j |
-164025527173120/3956283 |
j-invariant |
L |
1.7699727814116 |
L(r)(E,1)/r! |
Ω |
0.088498644672446 |
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 |
20100e1 80400cc1 |
Quadratic twists by: -4 5 |