Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5187j |
Isogeny class |
Conductor |
5187 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-10256393815941 = -1 · 3 · 712 · 13 · 19 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1501,152574] |
[a1,a2,a3,a4,a6] |
Generators |
[66:702:1] |
Generators of the group modulo torsion |
j |
373979421247823/10256393815941 |
j-invariant |
L |
2.4685126904365 |
L(r)(E,1)/r! |
Ω |
0.54380032492405 |
Real period |
R |
1.5131244424941 |
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 |
82992bn3 15561k4 129675e3 36309o3 |
Quadratic twists by: -4 -3 5 -7 |