Atkin-Lehner |
2+ 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
85440d |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
32808960000 = 216 · 32 · 54 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-801,801] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:75:1] [-17:96:1] |
Generators of the group modulo torsion |
j |
868327204/500625 |
j-invariant |
L |
7.6673965024886 |
L(r)(E,1)/r! |
Ω |
0.99385915411666 |
Real period |
R |
1.9286929316387 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440bl1 10680e1 |
Quadratic twists by: -4 8 |