Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16224s |
Isogeny class |
Conductor |
16224 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
811919627071488 = 212 · 35 · 138 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-221953,40150319] |
[a1,a2,a3,a4,a6] |
Generators |
[290:507:1] |
Generators of the group modulo torsion |
j |
61162984000/41067 |
j-invariant |
L |
6.7509627209754 |
L(r)(E,1)/r! |
Ω |
0.49758601301724 |
Real period |
R |
1.3567428634176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16224n2 32448bx1 48672l2 1248d2 |
Quadratic twists by: -4 8 -3 13 |