Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208m |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-10194598513082368 = -1 · 224 · 73 · 116 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,34687,4161665] |
[a1,a2,a3,a4,a6] |
j |
9938375/21952 |
j-invariant |
L |
1.1303827269785 |
L(r)(E,1)/r! |
Ω |
0.28259568182339 |
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 |
54208dc3 1694f3 448c3 |
Quadratic twists by: -4 8 -11 |