Atkin-Lehner |
2+ 3+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5766a |
Isogeny class |
Conductor |
5766 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4200 |
Modular degree for the optimal curve |
Δ |
-28725197184 = -1 · 27 · 35 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -1 3 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,461,7405] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:79:1] |
Generators of the group modulo torsion |
j |
11692487/31104 |
j-invariant |
L |
2.8316546565708 |
L(r)(E,1)/r! |
Ω |
0.8272638901016 |
Real period |
R |
1.1409719399304 |
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 |
46128w1 17298o1 5766f1 |
Quadratic twists by: -4 -3 -31 |