Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5586c |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-301644 = -1 · 22 · 34 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -5 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,17,1] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] [1:4:1] |
Generators of the group modulo torsion |
j |
10100279/6156 |
j-invariant |
L |
3.1545341396922 |
L(r)(E,1)/r! |
Ω |
1.7788627590844 |
Real period |
R |
0.4433357946787 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44688dh1 16758bf1 5586o1 106134cx1 |
Quadratic twists by: -4 -3 -7 -19 |