Atkin-Lehner |
2- 3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270cm |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1192144670062500 = 22 · 3 · 56 · 76 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31961,-1443915] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:885:1] |
Generators of the group modulo torsion |
j |
3610652051956028689/1192144670062500 |
j-invariant |
L |
10.531076650687 |
L(r)(E,1)/r! |
Ω |
0.36650325136665 |
Real period |
R |
4.7889873697874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810bz3 |
Quadratic twists by: -3 |