Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432u |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
553992192 = 214 · 32 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -4 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-209,207] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:36:1] |
Generators of the group modulo torsion |
j |
61918288/33813 |
j-invariant |
L |
4.992311092247 |
L(r)(E,1)/r! |
Ω |
1.4283050193407 |
Real period |
R |
1.7476347925164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432bo2 5304c2 127296e2 |
Quadratic twists by: -4 8 -3 |