Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168ce |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
400424171470848 = 223 · 32 · 74 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-95233,-11239007] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:128:1] |
Generators of the group modulo torsion |
j |
364376824890625/1527496992 |
j-invariant |
L |
3.523355784699 |
L(r)(E,1)/r! |
Ω |
0.2718390445827 |
Real period |
R |
1.6201479584319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168bk2 15792bc2 |
Quadratic twists by: -4 8 |