Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120bj |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.5435216471319E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8218683,466677882] |
[a1,a2,a3,a4,a6] |
Generators |
[-80905:9282878:125] |
Generators of the group modulo torsion |
j |
46424454082884/26794860125 |
j-invariant |
L |
6.4651800302576 |
L(r)(E,1)/r! |
Ω |
0.098626103364732 |
Real period |
R |
8.1940528347811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023795 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560s4 9680g3 7920g3 |
Quadratic twists by: -4 -3 -11 |