Atkin-Lehner |
2- 3+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43248n |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
474707496665088 = 217 · 33 · 17 · 534 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1254312,-540281232] |
[a1,a2,a3,a4,a6] |
Generators |
[-43426473091285130:96374323414291:67270168763000] |
Generators of the group modulo torsion |
j |
53282039719864790953/115895384928 |
j-invariant |
L |
6.0561800771609 |
L(r)(E,1)/r! |
Ω |
0.14265867571919 |
Real period |
R |
21.226119079777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5406d4 129744bk4 |
Quadratic twists by: -4 -3 |