Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800bn |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1006020000000000 = -1 · 211 · 37 · 510 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 0 2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46875,-4193750] |
[a1,a2,a3,a4,a6] |
Generators |
[281:2196:1] |
Generators of the group modulo torsion |
j |
-781250/69 |
j-invariant |
L |
4.7774551877542 |
L(r)(E,1)/r! |
Ω |
0.16141788361137 |
Real period |
R |
3.6996018375981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41400bn1 27600x1 82800bu1 |
Quadratic twists by: -4 -3 5 |