Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68112bn |
Isogeny class |
Conductor |
68112 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2672204857344 = 214 · 36 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4491,85050] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:432:1] |
Generators of the group modulo torsion |
j |
3354790473/894916 |
j-invariant |
L |
4.9049290699031 |
L(r)(E,1)/r! |
Ω |
0.75585848131177 |
Real period |
R |
1.6223040394645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999838 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8514j2 7568l2 |
Quadratic twists by: -4 -3 |