Atkin-Lehner |
3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5733a |
Isogeny class |
Conductor |
5733 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
210727359297 = 39 · 77 · 13 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2067,29168] |
[a1,a2,a3,a4,a6] |
Generators |
[2784:24284:27] |
Generators of the group modulo torsion |
j |
421875/91 |
j-invariant |
L |
4.6948342642515 |
L(r)(E,1)/r! |
Ω |
0.94424899516195 |
Real period |
R |
4.9720299288708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91728cs1 5733b1 819a1 74529j1 |
Quadratic twists by: -4 -3 -7 13 |