Atkin-Lehner |
2- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
16432j |
Isogeny class |
Conductor |
16432 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-4206592 = -1 · 212 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 2 0 1 -6 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3413,-75619] |
[a1,a2,a3,a4,a6] |
Generators |
[13767453286940:42224867474229:190705121216] |
Generators of the group modulo torsion |
j |
-1073741824000/1027 |
j-invariant |
L |
6.8630127419505 |
L(r)(E,1)/r! |
Ω |
0.31230206696628 |
Real period |
R |
21.975559779729 |
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 |
1027a1 65728o1 |
Quadratic twists by: -4 8 |