Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240eo |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-59126937272893440 = -1 · 214 · 322 · 5 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 2 -2 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10128,-11705632] |
[a1,a2,a3,a4,a6] |
Generators |
[6191889419:201610309869:5735339] |
Generators of the group modulo torsion |
j |
-9619385344/4950372915 |
j-invariant |
L |
5.177475621048 |
L(r)(E,1)/r! |
Ω |
0.15794212229906 |
Real period |
R |
16.390420571418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000387 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66240ca1 16560s1 22080ck1 |
Quadratic twists by: -4 8 -3 |