Atkin-Lehner |
2- 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150co |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1236480 |
Modular degree for the optimal curve |
Δ |
-61302875976562500 = -1 · 22 · 32 · 513 · 75 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-89313,15723117] |
[a1,a2,a3,a4,a6] |
Generators |
[1446:18027:8] |
Generators of the group modulo torsion |
j |
-5042524562477641/3923384062500 |
j-invariant |
L |
11.409481756624 |
L(r)(E,1)/r! |
Ω |
0.3217983532237 |
Real period |
R |
2.2159610278615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430j1 |
Quadratic twists by: 5 |