Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3384g |
Isogeny class |
Conductor |
3384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
2131432704 = 28 · 311 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 1 -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-732,-7292] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:18:1] |
Generators of the group modulo torsion |
j |
232428544/11421 |
j-invariant |
L |
3.5729899609272 |
L(r)(E,1)/r! |
Ω |
0.92064881009013 |
Real period |
R |
0.97023694642516 |
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 |
6768d1 27072k1 1128a1 84600o1 |
Quadratic twists by: -4 8 -3 5 |