Atkin-Lehner |
2+ 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
67680m |
Isogeny class |
Conductor |
67680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
208702785600 = 26 · 310 · 52 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6357,193844] |
[a1,a2,a3,a4,a6] |
j |
608937674176/4473225 |
j-invariant |
L |
2.0118456761531 |
L(r)(E,1)/r! |
Ω |
1.0059228391885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67680x1 22560i1 |
Quadratic twists by: -4 -3 |