Atkin-Lehner |
2- 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9890g |
Isogeny class |
Conductor |
9890 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2464 |
Modular degree for the optimal curve |
Δ |
-79120000 = -1 · 27 · 54 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -2 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,107,-19] |
[a1,a2,a3,a4,a6] |
Generators |
[5:22:1] |
Generators of the group modulo torsion |
j |
136670457951/79120000 |
j-invariant |
L |
5.9872943969275 |
L(r)(E,1)/r! |
Ω |
1.1549575721475 |
Real period |
R |
0.3702853644222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79120j1 89010r1 49450b1 |
Quadratic twists by: -4 -3 5 |