Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360dp |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
3072 |
Product of Tamagawa factors cp |
Δ |
-6.8072916595603E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6107745,7034489343] |
[a1,a2,a3,a4,a6] |
Generators |
[2226:-66885:1] |
Generators of the group modulo torsion |
j |
-192245661431796830258/51935513760073125 |
j-invariant |
L |
8.9059198617683 |
L(r)(E,1)/r! |
Ω |
0.12645253576492 |
Real period |
R |
0.36681747000113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007659 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360fc3 10920b4 |
Quadratic twists by: -4 8 |