Atkin-Lehner |
2+ 3- 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110j |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-54811468800 = -1 · 210 · 37 · 52 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,0,-11264] |
[a1,a2,a3,a4,a6] |
Generators |
[23:11:1] [32:128:1] |
Generators of the group modulo torsion |
j |
-1/75187200 |
j-invariant |
L |
7.5016360735665 |
L(r)(E,1)/r! |
Ω |
0.51293948173233 |
Real period |
R |
0.91404984661717 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29370ba1 |
Quadratic twists by: -3 |