Atkin-Lehner |
2- 3+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
43992g |
Isogeny class |
Conductor |
43992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
40023569664 = 28 · 39 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 -3 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,-6588] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:54:1] [-8:26:1] |
Generators of the group modulo torsion |
j |
20155392/7943 |
j-invariant |
L |
9.0355368964861 |
L(r)(E,1)/r! |
Ω |
0.88441558748339 |
Real period |
R |
1.2770490796919 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87984b1 43992a1 |
Quadratic twists by: -4 -3 |