Atkin-Lehner |
2+ 3- 5- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
32430s |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
3072000 |
Modular degree for the optimal curve |
Δ |
6.7505958238632E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4727613,165423256] |
[a1,a2,a3,a4,a6] |
Generators |
[-2125:25902:1] |
Generators of the group modulo torsion |
j |
11685554753744211240256201/6750595823863171334400 |
j-invariant |
L |
6.0352562735309 |
L(r)(E,1)/r! |
Ω |
0.11309939427413 |
Real period |
R |
0.53362410225666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97290bb1 |
Quadratic twists by: -3 |