Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150cv |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
41832000000000 = 212 · 32 · 59 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-340963,-76659583] |
[a1,a2,a3,a4,a6] |
Generators |
[4286:275705:1] |
Generators of the group modulo torsion |
j |
280559853721721449/2677248000 |
j-invariant |
L |
14.322655515068 |
L(r)(E,1)/r! |
Ω |
0.19757090232074 |
Real period |
R |
6.0411457989177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430a1 |
Quadratic twists by: 5 |