Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040gz |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
5123096294400 = 210 · 35 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-110805,14159403] |
[a1,a2,a3,a4,a6] |
Generators |
[51:2940:1] |
Generators of the group modulo torsion |
j |
1248870793216/42525 |
j-invariant |
L |
7.8801652862747 |
L(r)(E,1)/r! |
Ω |
0.71613086296203 |
Real period |
R |
0.55019031393867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040bh1 11760bn1 6720bf1 |
Quadratic twists by: -4 8 -7 |