Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160dq |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
41895634184110080 = 216 · 38 · 5 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-580961,-170347905] |
[a1,a2,a3,a4,a6] |
Generators |
[1195:29040:1] |
Generators of the group modulo torsion |
j |
186779563204/360855 |
j-invariant |
L |
9.4527122441937 |
L(r)(E,1)/r! |
Ω |
0.17294704749885 |
Real period |
R |
1.7080213917638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160fy4 14520m3 10560x4 |
Quadratic twists by: -4 8 -11 |