Atkin-Lehner |
2- 7+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
8162g |
Isogeny class |
Conductor |
8162 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
11976361433344 = 28 · 72 · 112 · 534 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-164796,-25707649] |
[a1,a2,a3,a4,a6] |
j |
494949898813825959057/11976361433344 |
j-invariant |
L |
1.8956306040495 |
L(r)(E,1)/r! |
Ω |
0.23695382550619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65296w2 73458f2 57134y2 89782p2 |
Quadratic twists by: -4 -3 -7 -11 |