Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gx |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8012233590580445184 = 242 · 37 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1972299,1057388794] |
[a1,a2,a3,a4,a6] |
Generators |
[263:23598:1] |
Generators of the group modulo torsion |
j |
5799070911693913/54760833024 |
j-invariant |
L |
4.8481781923135 |
L(r)(E,1)/r! |
Ω |
0.23458528243073 |
Real period |
R |
5.1667545085186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998551811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994db2 39984di2 119952dq2 |
Quadratic twists by: -4 -3 -7 |