Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560gi |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
-25894080 = -1 · 26 · 37 · 5 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102,-466] |
[a1,a2,a3,a4,a6] |
Generators |
[4375:6021:343] |
Generators of the group modulo torsion |
j |
-2515456/555 |
j-invariant |
L |
8.5038263034473 |
L(r)(E,1)/r! |
Ω |
0.7423995473307 |
Real period |
R |
5.7272572070885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999852646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560gj1 53280bj1 35520bu1 |
Quadratic twists by: -4 8 -3 |