Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320bz |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
115776000000 = 212 · 33 · 56 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2745,-51975] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:20:1] |
Generators of the group modulo torsion |
j |
558661848256/28265625 |
j-invariant |
L |
5.4155899726912 |
L(r)(E,1)/r! |
Ω |
0.66162751557293 |
Real period |
R |
1.3642091774052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000149 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320cu1 32160w1 |
Quadratic twists by: -4 8 |