Atkin-Lehner |
2+ 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
112832a |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-112832 = -1 · 26 · 41 · 43 |
Discriminant |
Eigenvalues |
2+ 0 2 -3 -2 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34,-78] |
[a1,a2,a3,a4,a6] |
Generators |
[601:14733:1] |
Generators of the group modulo torsion |
j |
-67917312/1763 |
j-invariant |
L |
6.3211960386335 |
L(r)(E,1)/r! |
Ω |
0.98703890578465 |
Real period |
R |
6.4042014333208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000100399 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832g1 56416n1 |
Quadratic twists by: -4 8 |