Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432s |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-32717353861251072 = -1 · 218 · 32 · 138 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14143,8683167] |
[a1,a2,a3,a4,a6] |
Generators |
[-1014:17655:8] |
Generators of the group modulo torsion |
j |
1193377118543/124806800313 |
j-invariant |
L |
8.1426039637488 |
L(r)(E,1)/r! |
Ω |
0.28326380341103 |
Real period |
R |
7.1864141002948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432bl3 663b4 127296h3 |
Quadratic twists by: -4 8 -3 |