Atkin-Lehner |
2- 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
54672z |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7747559497728 = -1 · 213 · 36 · 172 · 672 |
Discriminant |
Eigenvalues |
2- 3- -4 0 4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10080,408564] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-306:1] |
Generators of the group modulo torsion |
j |
-27655941287521/1891494018 |
j-invariant |
L |
6.4026319547869 |
L(r)(E,1)/r! |
Ω |
0.7280726466527 |
Real period |
R |
0.73282888094267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6834m2 |
Quadratic twists by: -4 |