Atkin-Lehner |
2- 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65968q |
Isogeny class |
Conductor |
65968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1380519264223232 = 215 · 74 · 19 · 314 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31142891,66893897754] |
[a1,a2,a3,a4,a6] |
Generators |
[2726:47492:1] [11871:1170498:1] |
Generators of the group modulo torsion |
j |
815531126295101552657217/337040835992 |
j-invariant |
L |
8.7183505330415 |
L(r)(E,1)/r! |
Ω |
0.29003345811393 |
Real period |
R |
15.029904807786 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999893 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8246d3 |
Quadratic twists by: -4 |