Atkin-Lehner |
2+ 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5742f |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-2.0942963181352E+22 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 11+ 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4864860,-5606740458] |
[a1,a2,a3,a4,a6] |
Generators |
[3587595:607703712:125] |
Generators of the group modulo torsion |
j |
17466551704682106586559/28728344556038333646 |
j-invariant |
L |
3.0502503677095 |
L(r)(E,1)/r! |
Ω |
0.063829137079249 |
Real period |
R |
2.3893871257592 |
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 |
45936bu2 1914p2 63162cc2 |
Quadratic twists by: -4 -3 -11 |