Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5712q |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-4141643942854656 = -1 · 229 · 33 · 75 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -5 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-233560,43478036] |
[a1,a2,a3,a4,a6] |
Generators |
[470:6144:1] |
Generators of the group modulo torsion |
j |
-344002044213921241/1011143540736 |
j-invariant |
L |
4.6542842591041 |
L(r)(E,1)/r! |
Ω |
0.44024656462962 |
Real period |
R |
0.88099954151445 |
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 |
714c1 22848bs1 17136bd1 39984cg1 |
Quadratic twists by: -4 8 -3 -7 |