Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5733g |
Isogeny class |
Conductor |
5733 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7348698545643 = 37 · 76 · 134 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8609,280550] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:790:1] |
Generators of the group modulo torsion |
j |
822656953/85683 |
j-invariant |
L |
2.7255668854228 |
L(r)(E,1)/r! |
Ω |
0.72159231463069 |
Real period |
R |
0.94428905011887 |
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 |
91728ef3 1911f3 117a3 74529z3 |
Quadratic twists by: -4 -3 -7 13 |