Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ja |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
256015724101632000 = 217 · 317 · 53 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -3 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-937185,348047775] |
[a1,a2,a3,a4,a6] |
Generators |
[615:2160:1] |
Generators of the group modulo torsion |
j |
5739907130357378/16142520375 |
j-invariant |
L |
8.2001412698149 |
L(r)(E,1)/r! |
Ω |
0.31213841094392 |
Real period |
R |
0.12877867457337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160bq1 29040d1 116160iw1 |
Quadratic twists by: -4 8 -11 |