Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432v |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
90058355712 = 210 · 34 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1789,24707] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:204:1] |
Generators of the group modulo torsion |
j |
618724784128/87947613 |
j-invariant |
L |
4.4509177039685 |
L(r)(E,1)/r! |
Ω |
1.0309527157644 |
Real period |
R |
0.53966074727616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432bp1 5304j1 127296f1 |
Quadratic twists by: -4 8 -3 |