Atkin-Lehner |
2+ 3- 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54990g |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
211061793150000000 = 27 · 312 · 58 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-247635,-41904459] |
[a1,a2,a3,a4,a6] |
j |
2303738870145165361/289522350000000 |
j-invariant |
L |
0.86313389699187 |
L(r)(E,1)/r! |
Ω |
0.21578347398889 |
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 |
18330bf2 |
Quadratic twists by: -3 |