Atkin-Lehner |
2- 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50880cd |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7.9244977300439E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57960961,-169771167839] |
[a1,a2,a3,a4,a6] |
j |
82146777284059539615361/30229559822250000 |
j-invariant |
L |
2.735868729636 |
L(r)(E,1)/r! |
Ω |
0.054717374562682 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50880z2 12720bj2 |
Quadratic twists by: -4 8 |