Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5712w |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-2567396627841024 = -1 · 226 · 38 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 6 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53352,-5350860] |
[a1,a2,a3,a4,a6] |
j |
-4100379159705193/626805817344 |
j-invariant |
L |
3.7380633111092 |
L(r)(E,1)/r! |
Ω |
0.15575263796289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
714a1 22848cd1 17136bq1 39984cl1 |
Quadratic twists by: -4 8 -3 -7 |