Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984cw |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
31933440 |
Modular degree for the optimal curve |
Δ |
-3.3561192443354E+28 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 6 0 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,147406880,-8787068194444] |
[a1,a2,a3,a4,a6] |
j |
15001431500460925919/1421324083670155776 |
j-invariant |
L |
4.6194561753819 |
L(r)(E,1)/r! |
Ω |
0.017497940058085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998ba1 119952dp1 39984br1 |
Quadratic twists by: -4 -3 -7 |