Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200t |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
-1.6619364403223E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38173408,-109932982688] |
[a1,a2,a3,a4,a6] |
Generators |
[10132:737100:1] |
Generators of the group modulo torsion |
j |
-192245661431796830258/51935513760073125 |
j-invariant |
L |
6.3470470102711 |
L(r)(E,1)/r! |
Ω |
0.029947123816855 |
Real period |
R |
1.1038634875671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917576 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600cd3 21840k3 |
Quadratic twists by: -4 5 |