Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400dg |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1680315840000000 = 212 · 37 · 57 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32700,-1136000] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:900:1] |
Generators of the group modulo torsion |
j |
82881856/36015 |
j-invariant |
L |
5.1748454451042 |
L(r)(E,1)/r! |
Ω |
0.36938056256439 |
Real period |
R |
0.87559518040863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400dx3 100800mf1 16800s3 10080s2 |
Quadratic twists by: -4 8 -3 5 |