Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784m |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4512544038422784 = 28 · 32 · 74 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-144044,20744556] |
[a1,a2,a3,a4,a6] |
Generators |
[30:4056:1] [91:2898:1] |
Generators of the group modulo torsion |
j |
267492843088/3651921 |
j-invariant |
L |
10.347063337422 |
L(r)(E,1)/r! |
Ω |
0.43685459087619 |
Real period |
R |
11.842685819872 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999915 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28392g2 4368m2 |
Quadratic twists by: -4 13 |