Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50784x |
Isogeny class |
Conductor |
50784 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-158855536055232 = -1 · 26 · 36 · 237 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11462,384152] |
[a1,a2,a3,a4,a6] |
j |
17576000/16767 |
j-invariant |
L |
4.532070062891 |
L(r)(E,1)/r! |
Ω |
0.37767250530052 |
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 |
50784d1 101568d2 2208j1 |
Quadratic twists by: -4 8 -23 |