Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536bh |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-7237360368 = -1 · 24 · 39 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15,-4093] |
[a1,a2,a3,a4,a6] |
Generators |
[34:189:1] |
Generators of the group modulo torsion |
j |
32000/620487 |
j-invariant |
L |
4.6011941128409 |
L(r)(E,1)/r! |
Ω |
0.61088433610485 |
Real period |
R |
1.8830054399211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16884j1 22512i1 |
Quadratic twists by: -4 -3 |