Atkin-Lehner |
2- 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59760bj |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-24202800 = -1 · 24 · 36 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12432,533531] |
[a1,a2,a3,a4,a6] |
j |
-18217937403904/2075 |
j-invariant |
L |
3.295099792574 |
L(r)(E,1)/r! |
Ω |
1.647549896081 |
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 |
14940c1 6640d1 |
Quadratic twists by: -4 -3 |