Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680eu |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-9.6977365180383E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4771113,-2521604734] |
[a1,a2,a3,a4,a6] |
j |
64359894910378156976/51964037412328125 |
j-invariant |
L |
0.86025520366066 |
L(r)(E,1)/r! |
Ω |
0.071687932502217 |
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 |
21420w2 28560cj2 |
Quadratic twists by: -4 -3 |