Atkin-Lehner |
2+ 3- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110y |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
6511602493440000 = 214 · 310 · 54 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-153954,-22885740] |
[a1,a2,a3,a4,a6] |
Generators |
[-1722:4821:8] |
Generators of the group modulo torsion |
j |
553567649457127969/8932239360000 |
j-invariant |
L |
5.8367615375906 |
L(r)(E,1)/r! |
Ω |
0.24125509863121 |
Real period |
R |
3.0241648652569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29370be1 |
Quadratic twists by: -3 |