Atkin-Lehner |
3- 5- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
48555j |
Isogeny class |
Conductor |
48555 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
192038818359375 = 36 · 512 · 13 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54722,-4868054] |
[a1,a2,a3,a4,a6] |
Generators |
[361:4544:1] |
Generators of the group modulo torsion |
j |
24858483378233049/263427734375 |
j-invariant |
L |
4.5439907819409 |
L(r)(E,1)/r! |
Ω |
0.31234725320865 |
Real period |
R |
2.4246468928701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5395a4 |
Quadratic twists by: -3 |