Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27144n |
Isogeny class |
Conductor |
27144 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2148499282176 = 28 · 310 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40719,3161810] |
[a1,a2,a3,a4,a6] |
j |
40008063416272/11512449 |
j-invariant |
L |
3.2224799514406 |
L(r)(E,1)/r! |
Ω |
0.8056199878603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54288l2 9048e2 |
Quadratic twists by: -4 -3 |