Atkin-Lehner |
5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65065c |
Isogeny class |
Conductor |
65065 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8921088 |
Modular degree for the optimal curve |
Δ |
-1.9743337191214E+21 |
Discriminant |
Eigenvalues |
-1 -3 5+ 7+ 11+ 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33957618,-76186241868] |
[a1,a2,a3,a4,a6] |
Generators |
[49036366778861211:7236473500062969856:2085867341433] |
Generators of the group modulo torsion |
j |
-25624101800321990763386121/11682448042138671875 |
j-invariant |
L |
1.7455197966491 |
L(r)(E,1)/r! |
Ω |
0.031269675810013 |
Real period |
R |
27.910743418871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65065w1 |
Quadratic twists by: 13 |