Atkin-Lehner |
3+ 7+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16779b |
Isogeny class |
Conductor |
16779 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
-5990103 = -1 · 32 · 72 · 172 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 0 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-118,458] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:34:1] [-1:24:1] |
Generators of the group modulo torsion |
j |
-181802454625/5990103 |
j-invariant |
L |
3.9752433666868 |
L(r)(E,1)/r! |
Ω |
2.3801360646224 |
Real period |
R |
0.83508741911318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50337g1 117453t1 |
Quadratic twists by: -3 -7 |