Atkin-Lehner |
2+ 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
40584l |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
263714832 = 24 · 33 · 193 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 -6 1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-400,2849] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:57:1] [-1:57:1] |
Generators of the group modulo torsion |
j |
443474841856/16482177 |
j-invariant |
L |
8.8604521234751 |
L(r)(E,1)/r! |
Ω |
1.7318233063318 |
Real period |
R |
0.2842364682317 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168i1 121752bi1 |
Quadratic twists by: -4 -3 |