Atkin-Lehner |
2- 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432bs |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
32 |
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 |
[619:48620:1] |
Generators of the group modulo torsion |
j |
55138849409108375/5449537181735712 |
j-invariant |
L |
3.9495297305696 |
L(r)(E,1)/r! |
Ω |
0.11620415453335 |
Real period |
R |
4.2484816339247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432w2 10608t2 127296dk2 |
Quadratic twists by: -4 8 -3 |