Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168dp |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.0618866622323E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7120897,-7146276865] |
[a1,a2,a3,a4,a6] |
Generators |
[-2676660:-22511825:1728] |
Generators of the group modulo torsion |
j |
152330884252627401217/4050776146821264 |
j-invariant |
L |
9.4167371175824 |
L(r)(E,1)/r! |
Ω |
0.092570107073796 |
Real period |
R |
6.3578415155557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999268 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63168b3 15792x4 |
Quadratic twists by: -4 8 |