Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800di |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
1.802375774208E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -1 3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7786875,5313006250] |
[a1,a2,a3,a4,a6] |
Generators |
[10230173:5221617966:79507] |
Generators of the group modulo torsion |
j |
1790712239425/618098688 |
j-invariant |
L |
6.1762783130179 |
L(r)(E,1)/r! |
Ω |
0.11278902950882 |
Real period |
R |
13.689891512061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10350bq1 27600cz1 82800fu1 |
Quadratic twists by: -4 -3 5 |