Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5586r |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
2172741732 = 22 · 35 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4681,122840] |
[a1,a2,a3,a4,a6] |
Generators |
[25:134:1] |
Generators of the group modulo torsion |
j |
96386901625/18468 |
j-invariant |
L |
3.651426284784 |
L(r)(E,1)/r! |
Ω |
1.4209436008339 |
Real period |
R |
0.25697193629932 |
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 |
44688cj1 16758bb1 114b1 106134ce1 |
Quadratic twists by: -4 -3 -7 -19 |