Atkin-Lehner |
3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5187d |
Isogeny class |
Conductor |
5187 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
320198697 = 33 · 7 · 13 · 194 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13112,-578959] |
[a1,a2,a3,a4,a6] |
Generators |
[2358:35639:8] |
Generators of the group modulo torsion |
j |
249277408000169977/320198697 |
j-invariant |
L |
4.8160275625259 |
L(r)(E,1)/r! |
Ω |
0.44615557157516 |
Real period |
R |
3.5981675969533 |
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 |
82992bw4 15561d4 129675o4 36309g4 |
Quadratic twists by: -4 -3 5 -7 |