Atkin-Lehner |
2- 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40896bz |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-17172393984 = -1 · 212 · 310 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -6 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,636,1280] |
[a1,a2,a3,a4,a6] |
j |
9528128/5751 |
j-invariant |
L |
3.0245529806566 |
L(r)(E,1)/r! |
Ω |
0.75613824517637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40896bo1 20448m1 13632n1 |
Quadratic twists by: -4 8 -3 |