Atkin-Lehner |
31- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85529b |
Isogeny class |
Conductor |
85529 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
74100 |
Modular degree for the optimal curve |
Δ |
78987827609 = 316 · 89 |
Discriminant |
Eigenvalues |
1 -2 -2 2 4 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1462,-16845] |
[a1,a2,a3,a4,a6] |
j |
389017/89 |
j-invariant |
L |
0.39241844633021 |
L(r)(E,1)/r! |
Ω |
0.78483707045972 |
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 |
89b2 |
Quadratic twists by: -31 |