Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168bp |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
223450988544 = 215 · 32 · 73 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-131649,18341631] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:6063:1] [21:3948:1] |
Generators of the group modulo torsion |
j |
7700692288012424/6819183 |
j-invariant |
L |
11.05520671081 |
L(r)(E,1)/r! |
Ω |
0.83150242576167 |
Real period |
R |
2.2159098936042 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168d2 31584g2 |
Quadratic twists by: -4 8 |