Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736dv |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
262144 |
Modular degree for the optimal curve |
Δ |
-88316412936192 = -1 · 214 · 314 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9636,-268112] |
[a1,a2,a3,a4,a6] |
Generators |
[29:189:1] |
Generators of the group modulo torsion |
j |
8284506032/7394247 |
j-invariant |
L |
6.9840273406897 |
L(r)(E,1)/r! |
Ω |
0.33206112791324 |
Real period |
R |
2.6290443046923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736cl1 23184e1 30912cb1 |
Quadratic twists by: -4 8 -3 |