Atkin-Lehner |
2- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
16432f |
Isogeny class |
Conductor |
16432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-874971136 = -1 · 216 · 132 · 79 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-251,2090] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:38:1] [7:26:1] |
Generators of the group modulo torsion |
j |
-426957777/213616 |
j-invariant |
L |
5.9670379320757 |
L(r)(E,1)/r! |
Ω |
1.4713909699484 |
Real period |
R |
2.0276860650729 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2054e1 65728w1 |
Quadratic twists by: -4 8 |