Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
5166u |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
148 |
Product of Tamagawa factors cp |
deg |
71040 |
Modular degree for the optimal curve |
Δ |
-365299956505903104 = -1 · 237 · 33 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 0 -1 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-637418,198183465] |
[a1,a2,a3,a4,a6] |
Generators |
[2897:149079:1] |
Generators of the group modulo torsion |
j |
-1060796991033079077987/13529628018737152 |
j-invariant |
L |
5.2350033407229 |
L(r)(E,1)/r! |
Ω |
0.30307977305155 |
Real period |
R |
0.11670737323687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41328ba1 5166a1 129150g1 36162bn1 |
Quadratic twists by: -4 -3 5 -7 |