Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720bf |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-787328466272409600 = -1 · 211 · 311 · 52 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46443,-42864442] |
[a1,a2,a3,a4,a6] |
j |
-7420395059282/527349420675 |
j-invariant |
L |
1.4980952933411 |
L(r)(E,1)/r! |
Ω |
0.12484127444508 |
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 |
55440r2 9240f2 |
Quadratic twists by: -4 -3 |