Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984dj |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2.1260567934319E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,652811,89654879] |
[a1,a2,a3,a4,a6] |
j |
1021544365555712/705905647251 |
j-invariant |
L |
4.8946373044676 |
L(r)(E,1)/r! |
Ω |
0.13596214734503 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9996e2 119952gz2 5712n2 |
Quadratic twists by: -4 -3 -7 |