Atkin-Lehner |
5+ 7+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116725d |
Isogeny class |
Conductor |
116725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.112167189925E+20 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ -6 4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-912443,608570478] |
[a1,a2,a3,a4,a6] |
Generators |
[-6326:231169:8] |
Generators of the group modulo torsion |
j |
-3360480740069185454080/4448668759700125163 |
j-invariant |
L |
3.5376835909255 |
L(r)(E,1)/r! |
Ω |
0.16919495876439 |
Real period |
R |
1.7424098916897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998689091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116725p2 |
Quadratic twists by: 5 |