Atkin-Lehner |
2- 3+ 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150cf |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
8199072000000000 = 214 · 32 · 59 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-90138,-9498969] |
[a1,a2,a3,a4,a6] |
j |
41468442784397/4197924864 |
j-invariant |
L |
3.8826290417495 |
L(r)(E,1)/r! |
Ω |
0.27733064455409 |
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 |
87150bu1 |
Quadratic twists by: 5 |