Atkin-Lehner |
2+ 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
47808k |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-47584641024 = -1 · 218 · 37 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 -3 -2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,852,-4304] |
[a1,a2,a3,a4,a6] |
Generators |
[38:288:1] [6:32:1] |
Generators of the group modulo torsion |
j |
357911/249 |
j-invariant |
L |
7.8306819655306 |
L(r)(E,1)/r! |
Ω |
0.63950582198245 |
Real period |
R |
0.7653059691131 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47808bv1 747e1 15936l1 |
Quadratic twists by: -4 8 -3 |