Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560eq |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-9288793644264000 = -1 · 26 · 322 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35817,3833368] |
[a1,a2,a3,a4,a6] |
Generators |
[588:15106:1] [18:15827:8] |
Generators of the group modulo torsion |
j |
108914030657216/199091084625 |
j-invariant |
L |
10.905088438372 |
L(r)(E,1)/r! |
Ω |
0.2818913745998 |
Real period |
R |
38.685427865276 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560ep1 53280br2 35520cz1 |
Quadratic twists by: -4 8 -3 |