Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576cr |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2106589184 = -1 · 220 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 1 -2 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,159,-2017] |
[a1,a2,a3,a4,a6] |
j |
34391/164 |
j-invariant |
L |
1.4790566153644 |
L(r)(E,1)/r! |
Ω |
0.73952826901842 |
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 |
128576bl1 32144w1 128576bz1 |
Quadratic twists by: -4 8 -7 |