Atkin-Lehner |
2+ 3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
50286k |
Isogeny class |
Conductor |
50286 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
297491976 = 23 · 32 · 173 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 4 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-695,-7054] |
[a1,a2,a3,a4,a6] |
Generators |
[194:2580:1] |
Generators of the group modulo torsion |
j |
7541066681/60552 |
j-invariant |
L |
7.3077996984621 |
L(r)(E,1)/r! |
Ω |
0.93044035960146 |
Real period |
R |
3.9270650842928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50286c2 |
Quadratic twists by: 17 |