Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53824ba |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
2 |
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 |
7.736356156736 |
L(r)(E,1)/r! |
Ω |
0.15472712313881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53824bd1 26912h1 53824bp1 |
Quadratic twists by: -4 8 29 |