Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5712p |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-5757696 = -1 · 28 · 33 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 1 -7 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35,-73] |
[a1,a2,a3,a4,a6] |
Generators |
[11:42:1] |
Generators of the group modulo torsion |
j |
17997824/22491 |
j-invariant |
L |
4.7320869902971 |
L(r)(E,1)/r! |
Ω |
1.284777755126 |
Real period |
R |
0.30693291579142 |
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 |
1428c1 22848br1 17136bc1 39984ce1 |
Quadratic twists by: -4 8 -3 -7 |