Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
27072br |
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] |
Generators |
[-288401386:22274855:6028568] |
Generators of the group modulo torsion |
j |
432081216/47 |
j-invariant |
L |
6.7014838396981 |
L(r)(E,1)/r! |
Ω |
0.52566772512427 |
Real period |
R |
12.748516828028 |
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 |
27072bl2 13536f1 27072bm2 |
Quadratic twists by: -4 8 -3 |