Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54180t |
Isogeny class |
Conductor |
54180 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1406856850801920 = -1 · 28 · 38 · 5 · 72 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-116247,-15361666] |
[a1,a2,a3,a4,a6] |
Generators |
[405610:2053809:1000] |
Generators of the group modulo torsion |
j |
-930896676859984/7538456205 |
j-invariant |
L |
6.7583485276754 |
L(r)(E,1)/r! |
Ω |
0.12921537058053 |
Real period |
R |
6.5378720980277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060a2 |
Quadratic twists by: -3 |