Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008dd |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
-101384192 = -1 · 216 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 1 0 7- 5 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,479] |
[a1,a2,a3,a4,a6] |
j |
-62500/1547 |
j-invariant |
L |
3.1670954287121 |
L(r)(E,1)/r! |
Ω |
1.583547817318 |
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 |
99008n1 24752j1 |
Quadratic twists by: -4 8 |