Atkin-Lehner |
2+ 3+ 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
16206b |
Isogeny class |
Conductor |
16206 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6567060144 = 24 · 3 · 374 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18716,977760] |
[a1,a2,a3,a4,a6] |
Generators |
[81:-3:1] |
Generators of the group modulo torsion |
j |
725101958462304457/6567060144 |
j-invariant |
L |
1.6920568101422 |
L(r)(E,1)/r! |
Ω |
1.2030917748232 |
Real period |
R |
2.8128474411536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129648bc4 48618i4 |
Quadratic twists by: -4 -3 |