Atkin-Lehner |
2- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8932d |
Isogeny class |
Conductor |
8932 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
35728 = 24 · 7 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 1 2 7- 11+ 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22,-47] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] |
Generators of the group modulo torsion |
j |
76995328/2233 |
j-invariant |
L |
5.7786021149248 |
L(r)(E,1)/r! |
Ω |
2.2000429297517 |
Real period |
R |
0.87552869033893 |
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 |
35728t1 80388f1 62524a1 98252f1 |
Quadratic twists by: -4 -3 -7 -11 |