Atkin-Lehner |
2+ 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5166a |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
213120 |
Modular degree for the optimal curve |
Δ |
-2.663036682928E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 0 -1 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5736759,-5345216803] |
[a1,a2,a3,a4,a6] |
Generators |
[19961843899:-91394491358:7189057] |
Generators of the group modulo torsion |
j |
-1060796991033079077987/13529628018737152 |
j-invariant |
L |
2.9760695114391 |
L(r)(E,1)/r! |
Ω |
0.048738617962155 |
Real period |
R |
15.265459074722 |
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 |
41328x1 5166u1 129150cg1 36162g1 |
Quadratic twists by: -4 -3 5 -7 |