Atkin-Lehner |
2+ 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168b |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
8 |
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 |
[2574515405426348071352802731880:-199441050988575850960551228942409:851531880018588904294683875] |
Generators of the group modulo torsion |
j |
1065104896666636223/880938523538983308 |
j-invariant |
L |
6.537300195974 |
L(r)(E,1)/r! |
Ω |
0.077457028475905 |
Real period |
R |
42.199528723635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999101 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168dp5 1974i6 |
Quadratic twists by: -4 8 |