Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800dc |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
988957900800 = 218 · 38 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 -3 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19875,1077410] |
[a1,a2,a3,a4,a6] |
Generators |
[79:18:1] |
Generators of the group modulo torsion |
j |
11631015625/13248 |
j-invariant |
L |
5.9098717569694 |
L(r)(E,1)/r! |
Ω |
0.87579257402627 |
Real period |
R |
1.68700669907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10350r1 27600br1 82800fr1 |
Quadratic twists by: -4 -3 5 |