Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
36360l |
Isogeny class |
Conductor |
36360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
312262827321600 = 28 · 314 · 52 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25743,-1343342] |
[a1,a2,a3,a4,a6] |
Generators |
[689:17550:1] |
Generators of the group modulo torsion |
j |
10109593391056/1673219025 |
j-invariant |
L |
5.9276759675764 |
L(r)(E,1)/r! |
Ω |
0.38114243544461 |
Real period |
R |
3.8880976088785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72720d2 12120j2 |
Quadratic twists by: -4 -3 |