Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640da |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
114696000000000000 = 215 · 35 · 512 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-632545,192738143] |
[a1,a2,a3,a4,a6] |
Generators |
[-769:15000:1] |
Generators of the group modulo torsion |
j |
854178715151999432/3500244140625 |
j-invariant |
L |
8.4257066585591 |
L(r)(E,1)/r! |
Ω |
0.33423026661555 |
Real period |
R |
0.4201547805093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640ca4 28320a3 |
Quadratic twists by: -4 8 |