Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440dz |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.187626179217E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10801587,13637023346] |
[a1,a2,a3,a4,a6] |
j |
46676570542430835889/106752955783320 |
j-invariant |
L |
1.3771797771441 |
L(r)(E,1)/r! |
Ω |
0.1721474720327 |
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 |
6930o4 18480bm4 |
Quadratic twists by: -4 -3 |