Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5187i |
Isogeny class |
Conductor |
5187 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
5002690329 = 310 · 73 · 13 · 19 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 2 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1684,-26521] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:23:1] |
Generators of the group modulo torsion |
j |
528160711369537/5002690329 |
j-invariant |
L |
2.6939503270587 |
L(r)(E,1)/r! |
Ω |
0.74569460130896 |
Real period |
R |
0.48168965728148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992bl1 15561j1 129675d1 36309n1 |
Quadratic twists by: -4 -3 5 -7 |