Atkin-Lehner |
2- 3- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
59148m |
Isogeny class |
Conductor |
59148 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
2.0794648046339E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1966440,-803219087] |
[a1,a2,a3,a4,a6] |
Generators |
[-287812:-5488209:343] |
Generators of the group modulo torsion |
j |
72097183704727552000/17828059024639053 |
j-invariant |
L |
4.950651116242 |
L(r)(E,1)/r! |
Ω |
0.12979723062034 |
Real period |
R |
6.3569038833604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999244 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
19716f3 |
Quadratic twists by: -3 |