Atkin-Lehner |
2- 3- 7- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
87822bn |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-8238229249875732072 = -1 · 23 · 37 · 73 · 172 · 416 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,175450,135122141] |
[a1,a2,a3,a4,a6] |
Generators |
[859:29887:1] |
Generators of the group modulo torsion |
j |
819329556853190375/11300725994342568 |
j-invariant |
L |
11.223186079877 |
L(r)(E,1)/r! |
Ω |
0.17258268895841 |
Real period |
R |
5.4192312787022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005244 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
29274x4 |
Quadratic twists by: -3 |