Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44616k |
Isogeny class |
Conductor |
44616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-1.4106697560554E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 11+ 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-820720,-338184692] |
[a1,a2,a3,a4,a6] |
j |
-6184708364018/1427037183 |
j-invariant |
L |
0.62679108931444 |
L(r)(E,1)/r! |
Ω |
0.078348886180522 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89232q1 3432a1 |
Quadratic twists by: -4 13 |