Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360di |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
937519681536000 = 215 · 34 · 53 · 414 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25505,-545025] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:840:1] |
Generators of the group modulo torsion |
j |
55997261469512/28610830125 |
j-invariant |
L |
8.6340535345368 |
L(r)(E,1)/r! |
Ω |
0.39898753148765 |
Real period |
R |
1.8033256791978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39360cf4 19680d3 118080eo4 |
Quadratic twists by: -4 8 -3 |