Atkin-Lehner |
2+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16576a |
Isogeny class |
Conductor |
16576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-157007872 = -1 · 214 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ -4 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,100,464] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:16:1] [5:33:1] |
Generators of the group modulo torsion |
j |
6750000/9583 |
j-invariant |
L |
6.6218950955938 |
L(r)(E,1)/r! |
Ω |
1.2330959644557 |
Real period |
R |
2.685068837492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16576n2 2072a2 116032f2 |
Quadratic twists by: -4 8 -7 |