Atkin-Lehner |
2- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16820c |
Isogeny class |
Conductor |
16820 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
1000492825922000 = 24 · 53 · 298 |
Discriminant |
Eigenvalues |
2- 0 5- -2 4 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26912,-756059] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:310:1] |
Generators of the group modulo torsion |
j |
226492416/105125 |
j-invariant |
L |
4.6620299582969 |
L(r)(E,1)/r! |
Ω |
0.38975998147638 |
Real period |
R |
3.9870947761556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67280w1 84100b1 580b1 |
Quadratic twists by: -4 5 29 |