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 |
1.798440986342E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16340737,-15163891967] |
[a1,a2,a3,a4,a6] |
Generators |
[-1509454181592766535909958662760:41657261647098110591137682572393:1437032060763037654221704125] |
Generators of the group modulo torsion |
j |
1840766649574711997377/686050791298657932 |
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 |
63168dp6 1974i5 |
Quadratic twists by: -4 8 |