Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800fr |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
15452467200000000 = 218 · 38 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -5 3 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-496875,134676250] |
[a1,a2,a3,a4,a6] |
Generators |
[359:1602:1] |
Generators of the group modulo torsion |
j |
11631015625/13248 |
j-invariant |
L |
5.6756206798944 |
L(r)(E,1)/r! |
Ω |
0.39166634594245 |
Real period |
R |
3.622739570971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10350br1 27600de1 82800dc1 |
Quadratic twists by: -4 -3 5 |