Atkin-Lehner |
2+ 3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
50286k |
Isogeny class |
Conductor |
50286 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-27355584 = -1 · 26 · 3 · 173 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 4 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15,-254] |
[a1,a2,a3,a4,a6] |
Generators |
[16576:106583:343] |
Generators of the group modulo torsion |
j |
-68921/5568 |
j-invariant |
L |
7.3077996984621 |
L(r)(E,1)/r! |
Ω |
0.93044035960146 |
Real period |
R |
7.8541301685856 |
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 |
50286c1 |
Quadratic twists by: 17 |