Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cc |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
65652541314048 = 210 · 310 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16104,683192] |
[a1,a2,a3,a4,a6] |
Generators |
[1546:60588:1] |
Generators of the group modulo torsion |
j |
618724784128/87947613 |
j-invariant |
L |
10.641331456915 |
L(r)(E,1)/r! |
Ω |
0.59522082796835 |
Real period |
R |
4.4694889202718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998816284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296f1 31824q1 42432bp1 |
Quadratic twists by: -4 8 -3 |