Atkin-Lehner |
2- 3+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55692a |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3217536 |
Modular degree for the optimal curve |
Δ |
1.0882753211379E+21 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 0 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44385813,-113807832479] |
[a1,a2,a3,a4,a6] |
j |
22385793984890275728076032/2519155835967464603 |
j-invariant |
L |
0.46793058148194 |
L(r)(E,1)/r! |
Ω |
0.058491322704456 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55692d1 |
Quadratic twists by: -3 |