Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792cs |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-41684647431168 = -1 · 210 · 35 · 72 · 434 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16933,-908869] |
[a1,a2,a3,a4,a6] |
j |
-524386048000000/40707663507 |
j-invariant |
L |
4.166618615616 |
L(r)(E,1)/r! |
Ω |
0.20833093085159 |
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 |
57792p1 14448j1 |
Quadratic twists by: -4 8 |