Atkin-Lehner |
2+ 3- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48144c |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
817452767232 = 211 · 34 · 174 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3384,-63180] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:102:1] |
Generators of the group modulo torsion |
j |
2093211703154/399146859 |
j-invariant |
L |
5.2231406299279 |
L(r)(E,1)/r! |
Ω |
0.63421944735462 |
Real period |
R |
1.029442697571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24072c4 |
Quadratic twists by: -4 |