Atkin-Lehner |
2- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16606n |
Isogeny class |
Conductor |
16606 |
Conductor |
∏ cp |
31 |
Product of Tamagawa factors cp |
deg |
40176 |
Modular degree for the optimal curve |
Δ |
-17830556729344 = -1 · 231 · 192 · 23 |
Discriminant |
Eigenvalues |
2- -2 -1 -2 3 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6519,15769] |
[a1,a2,a3,a4,a6] |
Generators |
[58:739:1] |
Generators of the group modulo torsion |
j |
84870212504471/49392123904 |
j-invariant |
L |
4.4448759179965 |
L(r)(E,1)/r! |
Ω |
0.41660051473115 |
Real period |
R |
0.34417406858331 |
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 |
16606b1 |
Quadratic twists by: -19 |