Atkin-Lehner |
2+ 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89590b |
Isogeny class |
Conductor |
89590 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1496880 |
Modular degree for the optimal curve |
Δ |
-2912199639040000000 = -1 · 227 · 57 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 3 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-223655,-91588099] |
[a1,a2,a3,a4,a6] |
j |
-4281173184950608041/10076815360000000 |
j-invariant |
L |
1.8448486661717 |
L(r)(E,1)/r! |
Ω |
0.10249158669348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89590i1 |
Quadratic twists by: 17 |