Atkin-Lehner |
2- 3- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57072q |
Isogeny class |
Conductor |
57072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-2339952 = -1 · 24 · 3 · 29 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 1 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2,-73] |
[a1,a2,a3,a4,a6] |
j |
32000/146247 |
j-invariant |
L |
2.3958320476775 |
L(r)(E,1)/r! |
Ω |
1.1979160240853 |
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 |
14268a1 |
Quadratic twists by: -4 |