Atkin-Lehner |
2+ 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990d |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.0279289286E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-603330,-519928300] |
[a1,a2,a3,a4,a6] |
Generators |
[112902643:3645906213:68921] |
Generators of the group modulo torsion |
j |
-1233950069360166003/5222420000000000 |
j-invariant |
L |
4.049672697491 |
L(r)(E,1)/r! |
Ω |
0.077950332809077 |
Real period |
R |
12.987990402216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45990bq2 |
Quadratic twists by: -3 |