Atkin-Lehner |
3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5733c |
Isogeny class |
Conductor |
5733 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-747871398145053 = -1 · 310 · 78 · 133 |
Discriminant |
Eigenvalues |
1 3- -4 7+ 5 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8811,1274454] |
[a1,a2,a3,a4,a6] |
j |
17999471/177957 |
j-invariant |
L |
0.74327681018396 |
L(r)(E,1)/r! |
Ω |
0.37163840509198 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728dn1 1911d1 5733j1 74529p1 |
Quadratic twists by: -4 -3 -7 13 |