Atkin-Lehner |
2- 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
54180c |
Isogeny class |
Conductor |
54180 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-17176740620256000 = -1 · 28 · 39 · 53 · 73 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-155088,-24338988] |
[a1,a2,a3,a4,a6] |
j |
-81870424178688/3408862625 |
j-invariant |
L |
2.1599318980693 |
L(r)(E,1)/r! |
Ω |
0.11999621654649 |
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 |
54180f1 |
Quadratic twists by: -3 |