Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800dl |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-1.727276783616E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,599325,-89950750] |
[a1,a2,a3,a4,a6] |
Generators |
[400393:16089282:343] |
Generators of the group modulo torsion |
j |
510273943271/370215360 |
j-invariant |
L |
7.810215329566 |
L(r)(E,1)/r! |
Ω |
0.12302735392629 |
Real period |
R |
7.9354459430163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10350t1 27600bu1 16560ch1 |
Quadratic twists by: -4 -3 5 |