Atkin-Lehner |
2- 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320cc |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
51456000000000000 = 220 · 3 · 512 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-295265,-60683775] |
[a1,a2,a3,a4,a6] |
j |
10859783578981849/196289062500 |
j-invariant |
L |
2.4603911569578 |
L(r)(E,1)/r! |
Ω |
0.20503259658196 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320bk3 16080u3 |
Quadratic twists by: -4 8 |