Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16720bc |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-271954411520000 = -1 · 219 · 54 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 1 5- 3 11+ -3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53520,-4849132] |
[a1,a2,a3,a4,a6] |
Generators |
[706:17600:1] |
Generators of the group modulo torsion |
j |
-4139236042638481/66395120000 |
j-invariant |
L |
6.6531185283888 |
L(r)(E,1)/r! |
Ω |
0.15679278013198 |
Real period |
R |
1.3260173959359 |
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 |
2090o1 66880cp1 83600bf1 |
Quadratic twists by: -4 8 5 |