Atkin-Lehner |
2- 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384cm |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.1296588961297E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37991019,56512447990] |
[a1,a2,a3,a4,a6] |
Generators |
[9435:733460:1] |
Generators of the group modulo torsion |
j |
8123422741085742408868/2852873821332920931 |
j-invariant |
L |
9.2125617296502 |
L(r)(E,1)/r! |
Ω |
0.075685065146601 |
Real period |
R |
2.535881672203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999897336 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128r4 |
Quadratic twists by: -3 |