Atkin-Lehner |
2- 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58140f |
Isogeny class |
Conductor |
58140 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-24242799318750000 = -1 · 24 · 37 · 58 · 173 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8592,7484893] |
[a1,a2,a3,a4,a6] |
j |
6013938827264/2078429296875 |
j-invariant |
L |
3.5257140071375 |
L(r)(E,1)/r! |
Ω |
0.29380950058235 |
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 |
19380m1 |
Quadratic twists by: -3 |