Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7568k |
Isogeny class |
Conductor |
7568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
7568 = 24 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 0 0 -3 11- -2 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5,-1] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1:1] |
Generators of the group modulo torsion |
j |
864000/473 |
j-invariant |
L |
3.6146015191446 |
L(r)(E,1)/r! |
Ω |
3.4108410706565 |
Real period |
R |
1.0597390626731 |
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 |
1892b1 30272ba1 68112bl1 83248bi1 |
Quadratic twists by: -4 8 -3 -11 |