Atkin-Lehner |
2- 3- 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
99180y |
Isogeny class |
Conductor |
99180 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3209202889550150400 = 28 · 322 · 52 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-865407,-297641306] |
[a1,a2,a3,a4,a6] |
Generators |
[-501:3190:1] |
Generators of the group modulo torsion |
j |
384076229719451344/17196088871475 |
j-invariant |
L |
6.8799702492634 |
L(r)(E,1)/r! |
Ω |
0.15696241490947 |
Real period |
R |
3.6526633070697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33060h2 |
Quadratic twists by: -3 |