Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640bu |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
1159987200 = 218 · 3 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5921,177345] |
[a1,a2,a3,a4,a6] |
Generators |
[13:320:1] |
Generators of the group modulo torsion |
j |
87587538121/4425 |
j-invariant |
L |
2.9235003575265 |
L(r)(E,1)/r! |
Ω |
1.4552820009174 |
Real period |
R |
1.0044446215702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000505 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640t1 14160ba1 |
Quadratic twists by: -4 8 |