Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160hr |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4489844198400000000 = 216 · 32 · 58 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1123041,446217759] |
[a1,a2,a3,a4,a6] |
Generators |
[-561:30000:1] [527:1008:1] |
Generators of the group modulo torsion |
j |
1349195526724/38671875 |
j-invariant |
L |
13.451792102931 |
L(r)(E,1)/r! |
Ω |
0.24406550468372 |
Real period |
R |
6.8894373880382 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160o3 29040n3 10560ca3 |
Quadratic twists by: -4 8 -11 |