Atkin-Lehner |
2- 3- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
20670ba |
Isogeny class |
Conductor |
20670 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-118085449218750 = -1 · 2 · 33 · 512 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 1 13- 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6836,565710] |
[a1,a2,a3,a4,a6] |
j |
-35329203384890689/118085449218750 |
j-invariant |
L |
6.2089165317716 |
L(r)(E,1)/r! |
Ω |
0.51740971098097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62010z1 103350e1 |
Quadratic twists by: -3 5 |