Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432t |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5763734765568 = 216 · 34 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4577,27903] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:204:1] |
Generators of the group modulo torsion |
j |
161838334948/87947613 |
j-invariant |
L |
7.6723244630802 |
L(r)(E,1)/r! |
Ω |
0.66157567052617 |
Real period |
R |
1.4496309350713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432bn3 5304k3 127296j3 |
Quadratic twists by: -4 8 -3 |