Atkin-Lehner |
3- 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117249n |
Isogeny class |
Conductor |
117249 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1811471663363769 = 34 · 118 · 172 · 192 |
Discriminant |
Eigenvalues |
-1 3- -2 0 11- -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-81254,8669739] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:3919:1] |
Generators of the group modulo torsion |
j |
33489000393337/1022528529 |
j-invariant |
L |
3.9263269272283 |
L(r)(E,1)/r! |
Ω |
0.46773102299775 |
Real period |
R |
2.0986029893208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089101 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10659h2 |
Quadratic twists by: -11 |