Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168dp |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2.309327483146E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1361663,-23112151297] |
[a1,a2,a3,a4,a6] |
Generators |
[182723184300:-14692003107929:27000000] |
Generators of the group modulo torsion |
j |
1065104896666636223/880938523538983308 |
j-invariant |
L |
9.4167371175824 |
L(r)(E,1)/r! |
Ω |
0.046285053536898 |
Real period |
R |
12.715683031111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999268 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168b5 15792x6 |
Quadratic twists by: -4 8 |