Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320br |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.8443349736655E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5815313416,-170691829909516] |
[a1,a2,a3,a4,a6] |
Generators |
[14004703367753416094:-13436640166621273854720:15107691357361] |
Generators of the group modulo torsion |
j |
5309860874757074224246393258249/4502770931800627200 |
j-invariant |
L |
6.6293334887627 |
L(r)(E,1)/r! |
Ω |
0.017288458556929 |
Real period |
R |
23.965892718735 |
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 |
4290b3 102960el4 |
Quadratic twists by: -4 -3 |