Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
55272y |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-28442790239472 = -1 · 24 · 38 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43332,3466917] |
[a1,a2,a3,a4,a6] |
Generators |
[114:-147:1] |
Generators of the group modulo torsion |
j |
-97556370688/308367 |
j-invariant |
L |
8.7995861068965 |
L(r)(E,1)/r! |
Ω |
0.66697283151897 |
Real period |
R |
0.27486083674574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544c1 55272t1 |
Quadratic twists by: -4 -7 |