Atkin-Lehner |
3+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
80223h |
Isogeny class |
Conductor |
80223 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
3710387474937 = 36 · 116 · 132 · 17 |
Discriminant |
Eigenvalues |
-1 3+ -4 -2 11- 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31765,2163866] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:1641:1] |
Generators of the group modulo torsion |
j |
2000852317801/2094417 |
j-invariant |
L |
1.6521790688602 |
L(r)(E,1)/r! |
Ω |
0.78372376723909 |
Real period |
R |
1.0540570189845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999591665 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
663a1 |
Quadratic twists by: -11 |