Atkin-Lehner |
2+ 5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
9890b |
Isogeny class |
Conductor |
9890 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-13524776756000000 = -1 · 28 · 56 · 23 · 435 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 1 -1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12343,5614997] |
[a1,a2,a3,a4,a6] |
Generators |
[151:2612:1] |
Generators of the group modulo torsion |
j |
-207989243483826169/13524776756000000 |
j-invariant |
L |
2.0966945685629 |
L(r)(E,1)/r! |
Ω |
0.32834038089493 |
Real period |
R |
0.31928673574176 |
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 |
79120g1 89010bt1 49450l1 |
Quadratic twists by: -4 -3 5 |