Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50880cn |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-1258720911477964800 = -1 · 245 · 33 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -1 6 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7041345,-7189555743] |
[a1,a2,a3,a4,a6] |
Generators |
[1186628629453:232862503403520:30664297] |
Generators of the group modulo torsion |
j |
-147282356044230283729/4801639219200 |
j-invariant |
L |
5.3872315890886 |
L(r)(E,1)/r! |
Ω |
0.046339868650134 |
Real period |
R |
14.531848454735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50880bh1 12720ba1 |
Quadratic twists by: -4 8 |