Atkin-Lehner |
3- 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
48555m |
Isogeny class |
Conductor |
48555 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-6096178573875 = -1 · 38 · 53 · 13 · 833 |
Discriminant |
Eigenvalues |
0 3- 5- -4 6 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-73542,7677207] |
[a1,a2,a3,a4,a6] |
Generators |
[125:661:1] |
Generators of the group modulo torsion |
j |
-60339609226215424/8362384875 |
j-invariant |
L |
4.9452027758143 |
L(r)(E,1)/r! |
Ω |
0.72864412444208 |
Real period |
R |
3.3934280192049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999854 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
16185d2 |
Quadratic twists by: -3 |