Atkin-Lehner |
2- 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50562bl |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-1953563994 = -1 · 2 · 38 · 533 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -3 -6 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1481,22403] |
[a1,a2,a3,a4,a6] |
j |
-3307949/18 |
j-invariant |
L |
5.9391218338093 |
L(r)(E,1)/r! |
Ω |
1.4847804585879 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16854j1 50562s1 |
Quadratic twists by: -3 53 |