Atkin-Lehner |
2- 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
64080bf |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-11211436800 = -1 · 28 · 39 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,528,-2036] |
[a1,a2,a3,a4,a6] |
Generators |
[38:270:1] [14:90:1] |
Generators of the group modulo torsion |
j |
87228416/60075 |
j-invariant |
L |
9.6813470381714 |
L(r)(E,1)/r! |
Ω |
0.72245816810466 |
Real period |
R |
0.83753526031042 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16020e1 21360m1 |
Quadratic twists by: -4 -3 |