Atkin-Lehner |
2- 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81984ci |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-6640704 = -1 · 26 · 35 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 0 -6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36,-162] |
[a1,a2,a3,a4,a6] |
Generators |
[9:18:1] |
Generators of the group modulo torsion |
j |
-82881856/103761 |
j-invariant |
L |
5.9020607871797 |
L(r)(E,1)/r! |
Ω |
0.92840735296385 |
Real period |
R |
1.271437751244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984bw1 40992n1 |
Quadratic twists by: -4 8 |