Atkin-Lehner |
2+ 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360u |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.911E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-683905,56385025] |
[a1,a2,a3,a4,a6] |
Generators |
[-855:3920:1] [-240:14375:1] |
Generators of the group modulo torsion |
j |
539798599042964356/291595458984375 |
j-invariant |
L |
10.030474207567 |
L(r)(E,1)/r! |
Ω |
0.18958880337139 |
Real period |
R |
1.6533271660057 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360hb4 10920p3 |
Quadratic twists by: -4 8 |