Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432w |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-1.4285634749689E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,507487,-1812976449] |
[a1,a2,a3,a4,a6] |
Generators |
[12745:1440504:1] |
Generators of the group modulo torsion |
j |
55138849409108375/5449537181735712 |
j-invariant |
L |
8.4056524192473 |
L(r)(E,1)/r! |
Ω |
0.071948596551568 |
Real period |
R |
2.9207145177697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432bs2 1326a2 127296bk2 |
Quadratic twists by: -4 8 -3 |