Atkin-Lehner |
2- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40040j |
Isogeny class |
Conductor |
40040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.4396113317015E+33 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76184404576,7736948794715424] |
[a1,a2,a3,a4,a6] |
Generators |
[4487023463472859449:3090361931618361562500:7704904621751] |
Generators of the group modulo torsion |
j |
23877672583695260285499099200438978/1191216470557352148822021484375 |
j-invariant |
L |
2.886686580541 |
L(r)(E,1)/r! |
Ω |
0.014315206636037 |
Real period |
R |
25.206469717258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80080h2 |
Quadratic twists by: -4 |