Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568bk |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
399074563915776 = 216 · 36 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-871419,-313102550] |
[a1,a2,a3,a4,a6] |
Generators |
[2405208874564281:-435833073165260650:73191996487] |
Generators of the group modulo torsion |
j |
24508532650053817/133649264 |
j-invariant |
L |
8.2506695938425 |
L(r)(E,1)/r! |
Ω |
0.15625824438845 |
Real period |
R |
26.400749689294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998384 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8946y2 7952f2 |
Quadratic twists by: -4 -3 |