Atkin-Lehner |
2+ 3- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470u |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.5968853293308E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-100729359,-389079694718] |
[a1,a2,a3,a4,a6] |
Generators |
[-1983247:-1303548:343] |
Generators of the group modulo torsion |
j |
113029528718825182183880516329/15968853293307939000000 |
j-invariant |
L |
4.2578524260415 |
L(r)(E,1)/r! |
Ω |
0.047655630456764 |
Real period |
R |
5.5841413506988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410bo4 |
Quadratic twists by: -3 |