Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800dg |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
2475186457500000000 = 28 · 316 · 510 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -5 -1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-834375,-283418750] |
[a1,a2,a3,a4,a6] |
Generators |
[-8372514757726:39710537182548:17800025131] |
Generators of the group modulo torsion |
j |
35248450000/1358127 |
j-invariant |
L |
6.5975166605116 |
L(r)(E,1)/r! |
Ω |
0.15833927973146 |
Real period |
R |
20.833480712117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20700p1 27600cy1 82800fw1 |
Quadratic twists by: -4 -3 5 |