Atkin-Lehner |
2- 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544v |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
4273933045989376 = 224 · 7 · 112 · 673 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 11- -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41984,1048576] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1024:1] |
Generators of the group modulo torsion |
j |
1998138318898177/1043440685056 |
j-invariant |
L |
5.8409606225235 |
L(r)(E,1)/r! |
Ω |
0.38462856376284 |
Real period |
R |
1.8982471579386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10318i1 |
Quadratic twists by: -4 |