Atkin-Lehner |
2- 3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270cm |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
104505588051480 = 23 · 36 · 5 · 7 · 116 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14221,427961] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:1073:1] |
Generators of the group modulo torsion |
j |
318065108596392529/104505588051480 |
j-invariant |
L |
10.531076650687 |
L(r)(E,1)/r! |
Ω |
0.54975487704998 |
Real period |
R |
3.192658246525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
117810bz2 |
Quadratic twists by: -3 |