Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20880ch |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
428105250000 = 24 · 310 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6672,-207389] |
[a1,a2,a3,a4,a6] |
j |
2816075628544/36703125 |
j-invariant |
L |
1.5859856663987 |
L(r)(E,1)/r! |
Ω |
0.52866188879957 |
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 |
5220o1 83520fa1 6960bg1 104400dp1 |
Quadratic twists by: -4 8 -3 5 |