Atkin-Lehner |
2- 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40896bp |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
21853115389181952 = 217 · 38 · 714 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74316,3196816] |
[a1,a2,a3,a4,a6] |
Generators |
[31945:118287:125] |
Generators of the group modulo torsion |
j |
475043342114/228705129 |
j-invariant |
L |
5.4050809314938 |
L(r)(E,1)/r! |
Ω |
0.34000716012844 |
Real period |
R |
7.9484810399999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40896x3 10224a3 13632r4 |
Quadratic twists by: -4 8 -3 |