Atkin-Lehner |
5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65065t |
Isogeny class |
Conductor |
65065 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8506368 |
Modular degree for the optimal curve |
Δ |
-5.0680294364205E+22 |
Discriminant |
Eigenvalues |
-1 -3 5- 7+ 11- 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8662908,-4584954006] |
[a1,a2,a3,a4,a6] |
Generators |
[624:32297:1] |
Generators of the group modulo torsion |
j |
521532458530551/367625480915 |
j-invariant |
L |
1.8066527687457 |
L(r)(E,1)/r! |
Ω |
0.063495896027625 |
Real period |
R |
3.5566329514943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65065j1 |
Quadratic twists by: 13 |