Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800fu |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
1153520495493120000 = 224 · 314 · 54 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 -3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-311475,42504050] |
[a1,a2,a3,a4,a6] |
Generators |
[10955:498114:125] |
Generators of the group modulo torsion |
j |
1790712239425/618098688 |
j-invariant |
L |
7.7766101963274 |
L(r)(E,1)/r! |
Ω |
0.25220393709795 |
Real period |
R |
7.7086526520052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10350v1 27600bw1 82800di1 |
Quadratic twists by: -4 -3 5 |