Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320f |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5542052659200 = -1 · 215 · 34 · 52 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2401,122785] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:360:1] [-31:408:1] |
Generators of the group modulo torsion |
j |
-46733803208/169130025 |
j-invariant |
L |
5.6619653625278 |
L(r)(E,1)/r! |
Ω |
0.66614301819921 |
Real period |
R |
0.531226516664 |
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 |
16320ba4 8160f4 48960cm3 81600cp3 |
Quadratic twists by: -4 8 -3 5 |