Atkin-Lehner |
3+ 11+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99297a |
Isogeny class |
Conductor |
99297 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
159712 |
Modular degree for the optimal curve |
Δ |
-527732077851 = -1 · 33 · 117 · 17 · 59 |
Discriminant |
Eigenvalues |
0 3+ 1 -3 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-31062,2107424] |
[a1,a2,a3,a4,a6] |
j |
-122757544879423488/19545632513 |
j-invariant |
L |
1.7917950839839 |
L(r)(E,1)/r! |
Ω |
0.89589728651248 |
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 |
99297b1 |
Quadratic twists by: -3 |