Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680eu |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
3.3215610548531E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99581592,-382486927849] |
[a1,a2,a3,a4,a6] |
j |
9362964919254624808075264/2847703236328125 |
j-invariant |
L |
0.86025520366066 |
L(r)(E,1)/r! |
Ω |
0.047791955001478 |
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 |
21420w3 28560cj3 |
Quadratic twists by: -4 -3 |