Atkin-Lehner |
2- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
890g |
Isogeny class |
Conductor |
890 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
200 |
Modular degree for the optimal curve |
Δ |
-8900000 = -1 · 25 · 55 · 89 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -3 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10,147] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:3:1] |
Generators of the group modulo torsion |
j |
109902239/8900000 |
j-invariant |
L |
2.8194525619231 |
L(r)(E,1)/r! |
Ω |
1.7698498471179 |
Real period |
R |
1.5930461934466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
7120n1 28480c1 8010f1 4450a1 |
Quadratic twists by: -4 8 -3 5 |