Atkin-Lehner |
2- 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40584z |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-15584256 = -1 · 210 · 32 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- -3 2 1 3 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-552,-5184] |
[a1,a2,a3,a4,a6] |
Generators |
[27:18:1] |
Generators of the group modulo torsion |
j |
-18198161572/15219 |
j-invariant |
L |
6.2274385939656 |
L(r)(E,1)/r! |
Ω |
0.49237666823302 |
Real period |
R |
3.161928151628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168o1 121752o1 |
Quadratic twists by: -4 -3 |