Atkin-Lehner |
3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
4599d |
Isogeny class |
Conductor |
4599 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-251842587507 = -1 · 39 · 74 · 732 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,625,23226] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:102:1] |
Generators of the group modulo torsion |
j |
37092620375/345463083 |
j-invariant |
L |
2.4068705286868 |
L(r)(E,1)/r! |
Ω |
0.72243069976882 |
Real period |
R |
0.41645353136589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73584t2 1533a2 114975r2 32193h2 |
Quadratic twists by: -4 -3 5 -7 |