Atkin-Lehner |
2- 3+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
66576n |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
68270221787136 = 215 · 3 · 194 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -2 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10832,177600] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:750:1] [-38:730:1] |
Generators of the group modulo torsion |
j |
34318619627473/16667534616 |
j-invariant |
L |
9.5058839590505 |
L(r)(E,1)/r! |
Ω |
0.54921940185599 |
Real period |
R |
8.6539950399897 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8322k2 |
Quadratic twists by: -4 |