Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
84960bn |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1099035724322304000 = 212 · 311 · 53 · 594 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1499772,705143936] |
[a1,a2,a3,a4,a6] |
Generators |
[-1388:10620:1] |
Generators of the group modulo torsion |
j |
124943008663561024/368064840375 |
j-invariant |
L |
5.7341743057728 |
L(r)(E,1)/r! |
Ω |
0.27651459786938 |
Real period |
R |
1.7281107860204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946476 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
84960bi4 28320a4 |
Quadratic twists by: -4 -3 |