Atkin-Lehner |
2- 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666cb |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
Δ |
-5.6442986316254E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -3 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4132768,1615340544] |
[a1,a2,a3,a4,a6] |
Generators |
[-320:16288:1] [-128:32992:1] |
Generators of the group modulo torsion |
j |
46191288739190040041063/33398216755179945984 |
j-invariant |
L |
16.957451598205 |
L(r)(E,1)/r! |
Ω |
0.085972423631488 |
Real period |
R |
0.54789699112332 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120666ba2 |
Quadratic twists by: 13 |