Atkin-Lehner |
2- 3+ 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010bb |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-1788224287104000 = -1 · 210 · 33 · 53 · 234 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2483,2035731] |
[a1,a2,a3,a4,a6] |
Generators |
[83:1506:1] |
Generators of the group modulo torsion |
j |
-62679586226067/66230529152000 |
j-invariant |
L |
11.292256787977 |
L(r)(E,1)/r! |
Ω |
0.3796125641841 |
Real period |
R |
1.487339704642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005435 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89010g1 |
Quadratic twists by: -3 |