Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12168n |
Isogeny class |
Conductor |
12168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-308732438193933312 = -1 · 210 · 37 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11661,26728702] |
[a1,a2,a3,a4,a6] |
Generators |
[614:16290:1] |
Generators of the group modulo torsion |
j |
48668/85683 |
j-invariant |
L |
5.412636562812 |
L(r)(E,1)/r! |
Ω |
0.24001590837889 |
Real period |
R |
5.6377893858889 |
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 |
24336f3 97344by3 4056f4 936e4 |
Quadratic twists by: -4 8 -3 13 |