Atkin-Lehner |
2+ 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064l |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
-309203868672 = -1 · 210 · 39 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 -3 -1 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33657,2388033] |
[a1,a2,a3,a4,a6] |
j |
-4117777414120192/301956903 |
j-invariant |
L |
1.8431967448638 |
L(r)(E,1)/r! |
Ω |
0.92159855897692 |
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 |
128064du1 8004c1 |
Quadratic twists by: -4 8 |