Atkin-Lehner |
2- 3- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43824z |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-11218944 = -1 · 212 · 3 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3- 3 2 11+ -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11,-157] |
[a1,a2,a3,a4,a6] |
Generators |
[58734:530821:729] |
Generators of the group modulo torsion |
j |
32768/2739 |
j-invariant |
L |
9.5311776085353 |
L(r)(E,1)/r! |
Ω |
1.0796494235891 |
Real period |
R |
8.8280300996545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2739g1 |
Quadratic twists by: -4 |