Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190cy |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
Δ |
-2.8209137688515E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6458680,6814452800] |
[a1,a2,a3,a4,a6] |
Generators |
[2672:91592:1] |
Generators of the group modulo torsion |
j |
-16818951115904497561/1592332281446400 |
j-invariant |
L |
11.256024681536 |
L(r)(E,1)/r! |
Ω |
0.13989709632037 |
Real period |
R |
0.44699620004707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
390d3 |
Quadratic twists by: -11 |