Atkin-Lehner |
2+ 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432l |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6461764927488 = 218 · 38 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 2 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6273,149121] |
[a1,a2,a3,a4,a6] |
Generators |
[80:391:1] |
Generators of the group modulo torsion |
j |
104154702625/24649677 |
j-invariant |
L |
4.4041254398334 |
L(r)(E,1)/r! |
Ω |
0.70670821191392 |
Real period |
R |
3.1159433027575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432ck2 663c2 127296u2 |
Quadratic twists by: -4 8 -3 |