Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42588z |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.2456045365361E+26 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2091515439,-36809204591770] |
[a1,a2,a3,a4,a6] |
Generators |
[425567463636921660791864530:-26612496115584469566244056470:7796666237576610057299] |
Generators of the group modulo torsion |
j |
511268777852836624/113468578083 |
j-invariant |
L |
6.8119725243103 |
L(r)(E,1)/r! |
Ω |
0.022324928153778 |
Real period |
R |
38.141066330585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196g2 42588n2 |
Quadratic twists by: -3 13 |