Atkin-Lehner |
2- 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
90246t |
Isogeny class |
Conductor |
90246 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-24427119188862 = -1 · 2 · 37 · 137 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-340623,76489191] |
[a1,a2,a3,a4,a6] |
Generators |
[2790:1647:8] |
Generators of the group modulo torsion |
j |
-905494020693625/5060718 |
j-invariant |
L |
12.710731771125 |
L(r)(E,1)/r! |
Ω |
0.59767004015669 |
Real period |
R |
1.5190813501106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942c1 |
Quadratic twists by: 13 |