Atkin-Lehner |
2- 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432bu |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3230882463744 = -1 · 217 · 38 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 6 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,383,86305] |
[a1,a2,a3,a4,a6] |
Generators |
[27:340:1] |
Generators of the group modulo torsion |
j |
47279806/24649677 |
j-invariant |
L |
5.5219259990175 |
L(r)(E,1)/r! |
Ω |
0.6198837789893 |
Real period |
R |
2.2270005225913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432ba2 10608f2 127296dw2 |
Quadratic twists by: -4 8 -3 |