Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984dt |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1.1760718388735E+23 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-299254384,-1992716542636] |
[a1,a2,a3,a4,a6] |
Generators |
[24460:2307018:1] |
Generators of the group modulo torsion |
j |
-6150311179917589675873/244053849830826 |
j-invariant |
L |
8.2961530414205 |
L(r)(E,1)/r! |
Ω |
0.018149237947937 |
Real period |
R |
6.3487154737895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998bg3 119952fp3 5712m3 |
Quadratic twists by: -4 -3 -7 |