Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5712ba |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-947552256 = -1 · 215 · 35 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -3 -3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-600,5652] |
[a1,a2,a3,a4,a6] |
Generators |
[6:48:1] |
Generators of the group modulo torsion |
j |
-5841725401/231336 |
j-invariant |
L |
4.9125066406757 |
L(r)(E,1)/r! |
Ω |
1.5568243357271 |
Real period |
R |
0.15777331224661 |
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 |
714b1 22848cg1 17136bk1 39984bl1 |
Quadratic twists by: -4 8 -3 -7 |