Atkin-Lehner |
2- 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
59328bd |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1062914752512 = -1 · 219 · 39 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 4 3 -2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11820,497104] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:864:1] |
Generators of the group modulo torsion |
j |
-955671625/5562 |
j-invariant |
L |
7.9745027558296 |
L(r)(E,1)/r! |
Ω |
0.87843259400889 |
Real period |
R |
0.56738152209961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59328p1 14832f1 19776ba1 |
Quadratic twists by: -4 8 -3 |