Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gm |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
8.6505533782949E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-188013819,992275637290] |
[a1,a2,a3,a4,a6] |
Generators |
[7757:24480:1] |
Generators of the group modulo torsion |
j |
717647917494305598319/844621814448 |
j-invariant |
L |
9.7112858813268 |
L(r)(E,1)/r! |
Ω |
0.13341445449683 |
Real period |
R |
1.5164657923686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999707898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14994cy2 39984dg2 119952ff2 |
Quadratic twists by: -4 -3 -7 |