Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7568j |
Isogeny class |
Conductor |
7568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
7568 = 24 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 2 2 -3 11+ -2 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22,-33] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:1:27] |
Generators of the group modulo torsion |
j |
76995328/473 |
j-invariant |
L |
5.9232784039599 |
L(r)(E,1)/r! |
Ω |
2.1969585951283 |
Real period |
R |
2.6961265529058 |
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 |
1892d1 30272bh1 68112ci1 83248be1 |
Quadratic twists by: -4 8 -3 -11 |