Atkin-Lehner |
2- 3+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
16932d |
Isogeny class |
Conductor |
16932 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
39421440 |
Modular degree for the optimal curve |
Δ |
-2.9398397539094E+30 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 -5 -6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2561635548,65687076610776] |
[a1,a2,a3,a4,a6] |
Generators |
[288689:157685914:1] |
Generators of the group modulo torsion |
j |
7261657656795691884656195675312/11483749038708731056994194761 |
j-invariant |
L |
1.4086908729771 |
L(r)(E,1)/r! |
Ω |
0.017297180515562 |
Real period |
R |
8.1440490934911 |
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 |
67728bd1 50796c1 |
Quadratic twists by: -4 -3 |