Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5733g |
Isogeny class |
Conductor |
5733 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-3344878719 = -1 · 37 · 76 · 13 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,211,-2572] |
[a1,a2,a3,a4,a6] |
Generators |
[34:190:1] |
Generators of the group modulo torsion |
j |
12167/39 |
j-invariant |
L |
2.7255668854228 |
L(r)(E,1)/r! |
Ω |
0.72159231463069 |
Real period |
R |
3.7771562004755 |
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 |
91728ef1 1911f1 117a1 74529z1 |
Quadratic twists by: -4 -3 -7 13 |