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 |
-2.0636263443839E+22 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-762064,-6916516972] |
[a1,a2,a3,a4,a6] |
Generators |
[7996:705894:1] |
Generators of the group modulo torsion |
j |
-101566487155393/42823570577256 |
j-invariant |
L |
8.2961530414205 |
L(r)(E,1)/r! |
Ω |
0.05444771384381 |
Real period |
R |
2.1162384912632 |
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 |
4998bg2 119952fp2 5712m2 |
Quadratic twists by: -4 -3 -7 |