Atkin-Lehner |
2- 5- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20060f |
Isogeny class |
Conductor |
20060 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-46378720000 = -1 · 28 · 54 · 173 · 59 |
Discriminant |
Eigenvalues |
2- 0 5- -2 -5 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,568,-8956] |
[a1,a2,a3,a4,a6] |
Generators |
[88:-850:1] [28:170:1] |
Generators of the group modulo torsion |
j |
79164186624/181166875 |
j-invariant |
L |
7.094878083198 |
L(r)(E,1)/r! |
Ω |
0.58774857690272 |
Real period |
R |
0.3353133542136 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80240t1 100300a1 |
Quadratic twists by: -4 5 |