Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680de |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-861411419406846000 = -1 · 24 · 36 · 53 · 79 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-359235,-94258242] |
[a1,a2,a3,a4,a6] |
Generators |
[1731:66885:1] |
Generators of the group modulo torsion |
j |
-7940694857728/1334161125 |
j-invariant |
L |
8.31024526342 |
L(r)(E,1)/r! |
Ω |
0.0966161199467 |
Real period |
R |
2.3892508448081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360bn1 64680bi1 |
Quadratic twists by: -4 -7 |