Atkin-Lehner |
2- 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890gk |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
1904 |
Product of Tamagawa factors cp |
deg |
526417920 |
Modular degree for the optimal curve |
Δ |
5.8431002506139E+30 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49457621912,-4231874220249189] |
[a1,a2,a3,a4,a6] |
j |
155993906575104092056816286761/68128302673428480000000 |
j-invariant |
L |
4.819028351242 |
L(r)(E,1)/r! |
Ω |
0.010124011519045 |
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 |
42630f1 18270bo1 |
Quadratic twists by: -3 -7 |