Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8550y |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
25383883654687500 = 22 · 38 · 58 · 195 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11885275130,498728928977997] |
[a1,a2,a3,a4,a6] |
Generators |
[765865983:-364889325:12167] |
Generators of the group modulo torsion |
j |
16300610738133468173382620881/2228489100 |
j-invariant |
L |
6.577391435759 |
L(r)(E,1)/r! |
Ω |
0.099958862308709 |
Real period |
R |
8.225122920374 |
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 |
68400fk4 2850a4 1710c4 |
Quadratic twists by: -4 -3 5 |