Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168dr |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
30220606144512 = 215 · 33 · 7 · 474 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11009,353727] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:564:1] |
Generators of the group modulo torsion |
j |
4503569204744/922259709 |
j-invariant |
L |
6.1812433542377 |
L(r)(E,1)/r! |
Ω |
0.62576487420181 |
Real period |
R |
0.82315840031214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168by3 31584r3 |
Quadratic twists by: -4 8 |