Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53824bd |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2060160 |
Modular degree for the optimal curve |
Δ |
1.3785734620781E+19 |
Discriminant |
Eigenvalues |
2- -2 4 -3 -2 -4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-943041,303554527] |
[a1,a2,a3,a4,a6] |
j |
6728 |
j-invariant |
L |
0.85610329754939 |
L(r)(E,1)/r! |
Ω |
0.21402582435674 |
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 |
53824ba1 26912g1 53824bn1 |
Quadratic twists by: -4 8 29 |