Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320bl |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
704 |
Product of Tamagawa factors cp |
deg |
3694592 |
Modular degree for the optimal curve |
Δ |
7.418030625E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14783465,21477303063] |
[a1,a2,a3,a4,a6] |
Generators |
[1471:54000:1] |
Generators of the group modulo torsion |
j |
87235349599794430899136/1811042633056640625 |
j-invariant |
L |
9.0830161162472 |
L(r)(E,1)/r! |
Ω |
0.13210243427011 |
Real period |
R |
0.39066688209611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320o1 32160p1 |
Quadratic twists by: -4 8 |