Atkin-Lehner |
2+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
16600c |
Isogeny class |
Conductor |
16600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
912 |
Modular degree for the optimal curve |
Δ |
-33200 = -1 · 24 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 -4 2 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
-10240/83 |
j-invariant |
L |
3.3790604863445 |
L(r)(E,1)/r! |
Ω |
1.5554015657739 |
Real period |
R |
1.0862341149384 |
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 |
33200e1 16600m1 |
Quadratic twists by: -4 5 |