Atkin-Lehner |
2- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20650u |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-545820800 = -1 · 27 · 52 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -1 0 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4283,107537] |
[a1,a2,a3,a4,a6] |
Generators |
[26:105:1] |
Generators of the group modulo torsion |
j |
-347563581743065/21832832 |
j-invariant |
L |
9.3230856068122 |
L(r)(E,1)/r! |
Ω |
1.5575642160326 |
Real period |
R |
0.21377439188258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20650j1 |
Quadratic twists by: 5 |