Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5187j |
Isogeny class |
Conductor |
5187 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
15076694997 = 34 · 73 · 134 · 19 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34789,2494628] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:1784:1] |
Generators of the group modulo torsion |
j |
4656400509904241617/15076694997 |
j-invariant |
L |
2.4685126904365 |
L(r)(E,1)/r! |
Ω |
1.0876006498481 |
Real period |
R |
0.37828111062354 |
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 |
82992bn4 15561k3 129675e4 36309o4 |
Quadratic twists by: -4 -3 5 -7 |