Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432bp |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5250184003584 = 214 · 38 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7569,230769] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:672:1] |
Generators of the group modulo torsion |
j |
2927363579728/320445801 |
j-invariant |
L |
4.9236095301234 |
L(r)(E,1)/r! |
Ω |
0.74099932698892 |
Real period |
R |
3.3222766545089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42432v2 10608k2 127296cc2 |
Quadratic twists by: -4 8 -3 |