Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68112bn |
Isogeny class |
Conductor |
68112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
22597926912 = 216 · 36 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1611,-23814] |
[a1,a2,a3,a4,a6] |
Generators |
[54:216:1] |
Generators of the group modulo torsion |
j |
154854153/7568 |
j-invariant |
L |
4.9049290699031 |
L(r)(E,1)/r! |
Ω |
0.75585848131177 |
Real period |
R |
3.2446080789291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8514j1 7568l1 |
Quadratic twists by: -4 -3 |