Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968fl |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-116122848688078848 = -1 · 218 · 36 · 73 · 116 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,78045,14084642] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:1694:1] |
Generators of the group modulo torsion |
j |
9938375/21952 |
j-invariant |
L |
8.5210075930098 |
L(r)(E,1)/r! |
Ω |
0.23073840799374 |
Real period |
R |
1.5387207792126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246i3 13552ba3 1008i3 |
Quadratic twists by: -4 -3 -11 |