Atkin-Lehner |
2- 3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
128160z |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1564672 |
Modular degree for the optimal curve |
Δ |
-1501875000000000000 = -1 · 212 · 33 · 516 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,96168,57834256] |
[a1,a2,a3,a4,a6] |
Generators |
[-288:2500:1] |
Generators of the group modulo torsion |
j |
889388997253632/13580322265625 |
j-invariant |
L |
6.9932250919173 |
L(r)(E,1)/r! |
Ω |
0.19936222276419 |
Real period |
R |
0.54809351310728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000092021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128160y1 128160c1 |
Quadratic twists by: -4 -3 |