Atkin-Lehner |
2+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53824n |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-102294880256 = -1 · 222 · 293 |
Discriminant |
Eigenvalues |
2+ -1 1 -2 5 -1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3905,-93887] |
[a1,a2,a3,a4,a6] |
j |
-1030301/16 |
j-invariant |
L |
1.2067415934106 |
L(r)(E,1)/r! |
Ω |
0.30168539852948 |
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 |
53824bj1 1682i1 53824m1 |
Quadratic twists by: -4 8 29 |