Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
32040n |
Isogeny class |
Conductor |
32040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-8173137427200 = -1 · 28 · 315 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12252,-539804] |
[a1,a2,a3,a4,a6] |
Generators |
[257:3645:1] |
Generators of the group modulo torsion |
j |
-1089876235264/43794675 |
j-invariant |
L |
5.0606108231698 |
L(r)(E,1)/r! |
Ω |
0.22635828326492 |
Real period |
R |
1.3972900478219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64080m1 10680c1 |
Quadratic twists by: -4 -3 |