Atkin-Lehner |
2+ 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
27072g |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
20791296 = 214 · 33 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 3 3 -1 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96,288] |
[a1,a2,a3,a4,a6] |
j |
221184/47 |
j-invariant |
L |
4.0760619016108 |
L(r)(E,1)/r! |
Ω |
2.0380309508055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27072bn1 1692b1 27072d1 |
Quadratic twists by: -4 8 -3 |