Atkin-Lehner |
2- 3- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
58140r |
Isogeny class |
Conductor |
58140 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
58706161506000 = 24 · 314 · 53 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10992,246701] |
[a1,a2,a3,a4,a6] |
j |
12592337649664/5033107125 |
j-invariant |
L |
3.4085811631881 |
L(r)(E,1)/r! |
Ω |
0.56809686005411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19380d1 |
Quadratic twists by: -3 |