Atkin-Lehner |
2- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52288u |
Isogeny class |
Conductor |
52288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-13706985472 = -1 · 224 · 19 · 43 |
Discriminant |
Eigenvalues |
2- -2 2 -1 0 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,543,-2657] |
[a1,a2,a3,a4,a6] |
j |
67419143/52288 |
j-invariant |
L |
1.3991723649608 |
L(r)(E,1)/r! |
Ω |
0.69958618266604 |
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 |
52288a1 13072d1 |
Quadratic twists by: -4 8 |