Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168bs |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-526258305466564608 = -1 · 216 · 320 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,117791,31281407] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:2016:1] [-118:3969:1] |
Generators of the group modulo torsion |
j |
2757886702758428/8030064475503 |
j-invariant |
L |
10.853863303285 |
L(r)(E,1)/r! |
Ω |
0.20615924378243 |
Real period |
R |
1.3161989615592 |
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 |
63168bx3 7896j4 |
Quadratic twists by: -4 8 |