Atkin-Lehner |
3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5187d |
Isogeny class |
Conductor |
5187 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2179302489 = 36 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-827,-8935] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:19:1] |
Generators of the group modulo torsion |
j |
62443196514217/2179302489 |
j-invariant |
L |
4.8160275625259 |
L(r)(E,1)/r! |
Ω |
0.89231114315033 |
Real period |
R |
1.7990837984767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82992bw2 15561d2 129675o2 36309g2 |
Quadratic twists by: -4 -3 5 -7 |