Atkin-Lehner |
2- 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40896bw |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-868371922944 = -1 · 224 · 36 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -6 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-684,-45360] |
[a1,a2,a3,a4,a6] |
Generators |
[48:180:1] [60:360:1] |
Generators of the group modulo torsion |
j |
-185193/4544 |
j-invariant |
L |
9.5906808951966 |
L(r)(E,1)/r! |
Ω |
0.3848035076252 |
Real period |
R |
6.2308949276389 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40896m1 10224r1 4544k1 |
Quadratic twists by: -4 8 -3 |