Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960ef |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7401059942400 = 215 · 312 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4908,19568] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:360:1] |
Generators of the group modulo torsion |
j |
547343432/309825 |
j-invariant |
L |
4.9355298923887 |
L(r)(E,1)/r! |
Ω |
0.63981432077304 |
Real period |
R |
0.96425043409293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960eh2 24480bf2 16320ce2 |
Quadratic twists by: -4 8 -3 |