Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360fc |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
96 |
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] |
j |
-192245661431796830258/51935513760073125 |
j-invariant |
L |
1.1364134216271 |
L(r)(E,1)/r! |
Ω |
0.047350560316168 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360dp3 21840k3 |
Quadratic twists by: -4 8 |