Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320bu |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-729222082560000 = -1 · 215 · 312 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21441,1781505] |
[a1,a2,a3,a4,a6] |
Generators |
[2721:21500:27] |
Generators of the group modulo torsion |
j |
-33268187675528/22254091875 |
j-invariant |
L |
4.6581007450774 |
L(r)(E,1)/r! |
Ω |
0.46790231076113 |
Real period |
R |
4.977642381931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320cf3 32160x2 |
Quadratic twists by: -4 8 |