Atkin-Lehner |
2- 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
81498v |
Isogeny class |
Conductor |
81498 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-376388506349568 = -1 · 212 · 34 · 176 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,16756,-416112] |
[a1,a2,a3,a4,a6] |
Generators |
[58:838:1] |
Generators of the group modulo torsion |
j |
21554582687/15593472 |
j-invariant |
L |
11.194636850893 |
L(r)(E,1)/r! |
Ω |
0.30105286359245 |
Real period |
R |
0.77468653955587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974469 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
282a1 |
Quadratic twists by: 17 |