Atkin-Lehner |
2- 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38592ch |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2.6396317991959E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 1 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5906604,-6053020976] |
[a1,a2,a3,a4,a6] |
j |
-119253141177582313/13812614823936 |
j-invariant |
L |
1.731885305785 |
L(r)(E,1)/r! |
Ω |
0.04810792516155 |
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 |
38592r3 9648l3 12864bn3 |
Quadratic twists by: -4 8 -3 |