Atkin-Lehner |
2- 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3168n |
Isogeny class |
Conductor |
3168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1672704 = -1 · 29 · 33 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11+ 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21,-50] |
[a1,a2,a3,a4,a6] |
j |
74088/121 |
j-invariant |
L |
2.8033880587517 |
L(r)(E,1)/r! |
Ω |
1.4016940293759 |
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 |
3168r2 6336bt2 3168f2 79200e2 |
Quadratic twists by: -4 8 -3 5 |