Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704cr |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-346374144 = -1 · 214 · 36 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 1 3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-173916,-27916272] |
[a1,a2,a3,a4,a6] |
Generators |
[195639754472588:981830260028008:396903329549] |
Generators of the group modulo torsion |
j |
-48707390098512/29 |
j-invariant |
L |
5.5429183492452 |
L(r)(E,1)/r! |
Ω |
0.11689196905861 |
Real period |
R |
23.709577286981 |
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 |
16704x1 4176bj1 1856p1 |
Quadratic twists by: -4 8 -3 |