Atkin-Lehner |
3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5187b |
Isogeny class |
Conductor |
5187 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-325476557679 = -1 · 3 · 7 · 138 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1533,-14184] |
[a1,a2,a3,a4,a6] |
j |
398412054846287/325476557679 |
j-invariant |
L |
1.0685293125928 |
L(r)(E,1)/r! |
Ω |
0.53426465629641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992cg3 15561l4 129675w3 36309ba3 |
Quadratic twists by: -4 -3 5 -7 |