Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82764n |
Isogeny class |
Conductor |
82764 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-201407012701488 = -1 · 24 · 39 · 116 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2904,680141] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:756:1] |
Generators of the group modulo torsion |
j |
131072/9747 |
j-invariant |
L |
5.1940684531274 |
L(r)(E,1)/r! |
Ω |
0.43108381169084 |
Real period |
R |
3.0122149779074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920933 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27588c1 684b1 |
Quadratic twists by: -3 -11 |