Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16450l |
Isogeny class |
Conductor |
16450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
-65800 = -1 · 23 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5,-13] |
[a1,a2,a3,a4,a6] |
Generators |
[5:8:1] |
Generators of the group modulo torsion |
j |
663255/2632 |
j-invariant |
L |
7.3947862994432 |
L(r)(E,1)/r! |
Ω |
1.7663765117884 |
Real period |
R |
1.3954718883719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16450g1 115150cf1 |
Quadratic twists by: 5 -7 |