Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488dd |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.4522013133706E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10998017,-1197723297] |
[a1,a2,a3,a4,a6] |
Generators |
[20403937219533531:-630864640117018140:5267115772199] |
Generators of the group modulo torsion |
j |
4770223741048753/2740574865798 |
j-invariant |
L |
9.8784182288741 |
L(r)(E,1)/r! |
Ω |
0.090084921074325 |
Real period |
R |
27.414183483443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488gh3 3234r4 14784d3 |
Quadratic twists by: -4 8 -7 |