Atkin-Lehner |
2- 3+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27072bl |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3789213696 = 212 · 39 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 4 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6804,216000] |
[a1,a2,a3,a4,a6] |
j |
432081216/47 |
j-invariant |
L |
1.3414376639653 |
L(r)(E,1)/r! |
Ω |
1.3414376639652 |
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 |
27072br2 13536d1 27072bs2 |
Quadratic twists by: -4 8 -3 |