Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57960by |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5565206062080 = 210 · 39 · 5 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-596307,-177236386] |
[a1,a2,a3,a4,a6] |
Generators |
[1075:20592:1] |
Generators of the group modulo torsion |
j |
31412749404762436/7455105 |
j-invariant |
L |
7.1314708738929 |
L(r)(E,1)/r! |
Ω |
0.1718035304213 |
Real period |
R |
5.188681845308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920bs4 19320a3 |
Quadratic twists by: -4 -3 |