Atkin-Lehner |
2- 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150cn |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
204257812500 = 22 · 32 · 510 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2788813,-1792806883] |
[a1,a2,a3,a4,a6] |
Generators |
[-1283414:641359:1331] |
Generators of the group modulo torsion |
j |
153518910112934762761/13072500 |
j-invariant |
L |
10.71539386922 |
L(r)(E,1)/r! |
Ω |
0.11682739832101 |
Real period |
R |
5.7324919175785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000011907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430i3 |
Quadratic twists by: 5 |