Atkin-Lehner |
2- 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67536bc |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-23836628592 = -1 · 24 · 33 · 77 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -1 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-549,8927] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:75:1] |
Generators of the group modulo torsion |
j |
-42360102144/55177381 |
j-invariant |
L |
6.975634921926 |
L(r)(E,1)/r! |
Ω |
1.082331668606 |
Real period |
R |
3.2225033804247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16884a1 67536be1 |
Quadratic twists by: -4 -3 |