Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
890b |
Isogeny class |
Conductor |
890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
35600 = 24 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 4 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
68417929/35600 |
j-invariant |
L |
1.2590202824938 |
L(r)(E,1)/r! |
Ω |
2.9585607937671 |
Real period |
R |
0.42555160101702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7120i1 28480o1 8010m1 4450i1 |
Quadratic twists by: -4 8 -3 5 |