Atkin-Lehner |
2+ 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40896m |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7706800816128 = 221 · 36 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 6 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23724,1400112] |
[a1,a2,a3,a4,a6] |
j |
7727161833/40328 |
j-invariant |
L |
2.9787090569929 |
L(r)(E,1)/r! |
Ω |
0.74467726420677 |
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 |
40896bw2 1278h2 4544e2 |
Quadratic twists by: -4 8 -3 |