Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8514g |
Isogeny class |
Conductor |
8514 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-9533500416 = -1 · 210 · 39 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 11+ 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-527,6743] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-122:1] |
Generators of the group modulo torsion |
j |
-22164361129/13077504 |
j-invariant |
L |
6.3335073308278 |
L(r)(E,1)/r! |
Ω |
1.1993100865829 |
Real period |
R |
0.13202397365125 |
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 |
68112cg1 2838c1 93654t1 |
Quadratic twists by: -4 -3 -11 |