Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984o |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2.0305696298798E+26 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-556866592,5011087431188] |
[a1,a2,a3,a4,a6] |
Generators |
[1679:2020110:1] |
Generators of the group modulo torsion |
j |
79260902459030376659234/842751810121431609 |
j-invariant |
L |
8.3759580734835 |
L(r)(E,1)/r! |
Ω |
0.056640124916968 |
Real period |
R |
6.161678731703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19992u4 119952bk3 5712g4 |
Quadratic twists by: -4 -3 -7 |