Atkin-Lehner |
3- 13- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
85527g |
Isogeny class |
Conductor |
85527 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
45577252773 = 38 · 13 · 172 · 432 |
Discriminant |
Eigenvalues |
1 3- 4 -4 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1035,-7412] |
[a1,a2,a3,a4,a6] |
j |
168288035761/62520237 |
j-invariant |
L |
3.4723219764215 |
L(r)(E,1)/r! |
Ω |
0.86808047456897 |
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 |
28509c2 |
Quadratic twists by: -3 |