Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232br |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-9.2303765545644E+21 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27188776,54771812848] |
[a1,a2,a3,a4,a6] |
Generators |
[3052:14520:1] |
Generators of the group modulo torsion |
j |
-112427521449300721/466873642818 |
j-invariant |
L |
7.6079783350673 |
L(r)(E,1)/r! |
Ω |
0.13039332038972 |
Real period |
R |
1.4586595219111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154q4 528f4 |
Quadratic twists by: -4 13 |