Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960fn |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
219290664960 = 217 · 39 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3525132,2547482384] |
[a1,a2,a3,a4,a6] |
j |
50700519510140162/2295 |
j-invariant |
L |
2.1552369790853 |
L(r)(E,1)/r! |
Ω |
0.538809244867 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960cw4 12240m4 16320bw3 |
Quadratic twists by: -4 8 -3 |