Atkin-Lehner |
2- 3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090de |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.1687592601425E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,487867,99133881] |
[a1,a2,a3,a4,a6] |
Generators |
[411:19002:1] |
Generators of the group modulo torsion |
j |
17615758461429817079/16032362964918300 |
j-invariant |
L |
9.983150830845 |
L(r)(E,1)/r! |
Ω |
0.14777720467586 |
Real period |
R |
1.4074045406708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030e3 |
Quadratic twists by: -3 |