Atkin-Lehner |
2+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
55616c |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-2505834496 = -1 · 218 · 112 · 79 |
Discriminant |
Eigenvalues |
2+ 2 -2 4 11+ -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129,-2431] |
[a1,a2,a3,a4,a6] |
Generators |
[16037:103788:343] |
Generators of the group modulo torsion |
j |
-912673/9559 |
j-invariant |
L |
8.8738521313369 |
L(r)(E,1)/r! |
Ω |
0.6143750990575 |
Real period |
R |
7.2218520452036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55616be1 869c1 |
Quadratic twists by: -4 8 |