Atkin-Lehner |
2- 3+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150bz |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
75665264062500 = 22 · 35 · 58 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14588,-539719] |
[a1,a2,a3,a4,a6] |
Generators |
[545:12127:1] |
Generators of the group modulo torsion |
j |
21973174804729/4842576900 |
j-invariant |
L |
7.873740450525 |
L(r)(E,1)/r! |
Ω |
0.44123539674196 |
Real period |
R |
4.461190393246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430o1 |
Quadratic twists by: 5 |