Atkin-Lehner |
5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81685b |
Isogeny class |
Conductor |
81685 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
377189064425 = 52 · 17 · 316 |
Discriminant |
Eigenvalues |
1 -2 5+ -2 -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8189,282987] |
[a1,a2,a3,a4,a6] |
j |
68417929/425 |
j-invariant |
L |
0.95762993741229 |
L(r)(E,1)/r! |
Ω |
0.9576299381681 |
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 |
85a1 |
Quadratic twists by: -31 |