Atkin-Lehner |
2- 7+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8246d |
Isogeny class |
Conductor |
8246 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
337040835992 = 23 · 74 · 19 · 314 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1946431,-1044730545] |
[a1,a2,a3,a4,a6] |
Generators |
[18287982:888286663:5832] |
Generators of the group modulo torsion |
j |
815531126295101552657217/337040835992 |
j-invariant |
L |
5.3913139602891 |
L(r)(E,1)/r! |
Ω |
0.12781735285907 |
Real period |
R |
14.05994267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65968q4 74214f4 57722o4 |
Quadratic twists by: -4 -3 -7 |