Atkin-Lehner |
2- 3+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54990z |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-52414268400 = -1 · 24 · 33 · 52 · 133 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-803,-13869] |
[a1,a2,a3,a4,a6] |
j |
-2118358441107/1941269200 |
j-invariant |
L |
3.4568625827632 |
L(r)(E,1)/r! |
Ω |
0.43210782296044 |
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 |
54990d1 |
Quadratic twists by: -3 |