Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200bf |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
347817505680000000 = 210 · 316 · 57 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-324008,64961988] |
[a1,a2,a3,a4,a6] |
Generators |
[-326:11664:1] |
Generators of the group modulo torsion |
j |
235110632607364/21738594105 |
j-invariant |
L |
7.0981274148063 |
L(r)(E,1)/r! |
Ω |
0.29523166100198 |
Real period |
R |
1.5026605175698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065396 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60600v4 24240f4 |
Quadratic twists by: -4 5 |