Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280gb |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
88862883840 = 218 · 37 · 5 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5772,-168176] |
[a1,a2,a3,a4,a6] |
Generators |
[245130:-10846976:125] |
Generators of the group modulo torsion |
j |
111284641/465 |
j-invariant |
L |
9.5797966824938 |
L(r)(E,1)/r! |
Ω |
0.54786952606016 |
Real period |
R |
8.7427719694924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012253 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280cn1 22320bt1 29760cr1 |
Quadratic twists by: -4 8 -3 |