Atkin-Lehner |
3- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
5133c |
Isogeny class |
Conductor |
5133 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
992 |
Modular degree for the optimal curve |
Δ |
5133 = 3 · 29 · 59 |
Discriminant |
Eigenvalues |
2 3- 4 -1 2 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-46,-137] |
[a1,a2,a3,a4,a6] |
j |
11000295424/5133 |
j-invariant |
L |
7.3197849560275 |
L(r)(E,1)/r! |
Ω |
1.8299462390069 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82128q1 15399b1 128325i1 |
Quadratic twists by: -4 -3 5 |