Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320bd |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-33096499200 = -1 · 215 · 32 · 52 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,799,-801] |
[a1,a2,a3,a4,a6] |
Generators |
[7:72:1] |
Generators of the group modulo torsion |
j |
1719374392/1010025 |
j-invariant |
L |
7.3867750528069 |
L(r)(E,1)/r! |
Ω |
0.68556598169046 |
Real period |
R |
1.346838825505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320a2 32160q2 |
Quadratic twists by: -4 8 |