Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200cz |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2.1818662397149E+19 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -2 -6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-255248,230066708] |
[a1,a2,a3,a4,a6] |
Generators |
[-18564:243010:27] |
Generators of the group modulo torsion |
j |
-3592051016566949/42614574994432 |
j-invariant |
L |
5.6714538317499 |
L(r)(E,1)/r! |
Ω |
0.18251548433313 |
Real period |
R |
7.7684557182325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650bi2 53200dr2 |
Quadratic twists by: -4 5 |