Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240ff |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1421626982400 = 214 · 38 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5628,152048] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:540:1] [-46:560:1] |
Generators of the group modulo torsion |
j |
1650587344/119025 |
j-invariant |
L |
8.2272680966387 |
L(r)(E,1)/r! |
Ω |
0.83552029185401 |
Real period |
R |
2.461720013517 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66240bm2 16560v2 22080cd2 |
Quadratic twists by: -4 8 -3 |