Atkin-Lehner |
2+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16606b |
Isogeny class |
Conductor |
16606 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
763344 |
Modular degree for the optimal curve |
Δ |
-8.3885425005247E+20 |
Discriminant |
Eigenvalues |
2+ 2 -1 -2 3 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2353352,-103452864] |
[a1,a2,a3,a4,a6] |
Generators |
[187653299001231495872613669312:21475373955069841969839084795411:2426394799499913513106407424] |
Generators of the group modulo torsion |
j |
84870212504471/49392123904 |
j-invariant |
L |
4.6274372070848 |
L(r)(E,1)/r! |
Ω |
0.093701318532562 |
Real period |
R |
49.38497429443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16606n1 |
Quadratic twists by: -19 |