Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720bq |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7393389696000 = 210 · 37 · 53 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-792147,271366814] |
[a1,a2,a3,a4,a6] |
Generators |
[523:360:1] |
Generators of the group modulo torsion |
j |
73639964854838596/9904125 |
j-invariant |
L |
6.0446370634572 |
L(r)(E,1)/r! |
Ω |
0.57890615919185 |
Real period |
R |
0.87012333050886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440bf4 9240c3 |
Quadratic twists by: -4 -3 |