Atkin-Lehner |
2- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
32536g |
Isogeny class |
Conductor |
32536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-139989133312 = -1 · 211 · 77 · 83 |
Discriminant |
Eigenvalues |
2- -2 2 7- 1 2 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,768,16288] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:833:8] |
Generators of the group modulo torsion |
j |
207646/581 |
j-invariant |
L |
4.5384851956514 |
L(r)(E,1)/r! |
Ω |
0.72667945494762 |
Real period |
R |
3.1227559584568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65072h1 4648a1 |
Quadratic twists by: -4 -7 |