Atkin-Lehner |
2+ 31+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
16616b |
Isogeny class |
Conductor |
16616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-2226544 = -1 · 24 · 31 · 672 |
Discriminant |
Eigenvalues |
2+ -2 -1 -1 0 -4 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4,73] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] [16:67:1] |
Generators of the group modulo torsion |
j |
340736/139159 |
j-invariant |
L |
4.7735175572376 |
L(r)(E,1)/r! |
Ω |
2.0185102097355 |
Real period |
R |
0.59121791088971 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33232c1 |
Quadratic twists by: -4 |