Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320bq |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
26477199360 = 217 · 32 · 5 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1121,-11775] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:27:1] [-19:48:1] |
Generators of the group modulo torsion |
j |
1189646642/202005 |
j-invariant |
L |
8.5576985837801 |
L(r)(E,1)/r! |
Ω |
0.83456793269743 |
Real period |
R |
2.5635116832574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320be2 16080j2 |
Quadratic twists by: -4 8 |