Atkin-Lehner |
2- 3+ |
Signs for the Atkin-Lehner involutions |
Class |
144a |
Isogeny class |
Conductor |
144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-314928 = -1 · 24 · 39 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,27] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
1.2143253239438 |
L(r)(E,1)/r! |
Ω |
2.4286506478876 |
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 |
36a3 576e3 144a1 3600bb3 |
Quadratic twists by: -4 8 -3 5 |