Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040s |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
166659897600 = 28 · 312 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1767,20774] |
[a1,a2,a3,a4,a6] |
j |
3269383504/893025 |
j-invariant |
L |
1.9024399249841 |
L(r)(E,1)/r! |
Ω |
0.95121996249205 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2520h2 20160eg2 1680c2 25200bg2 |
Quadratic twists by: -4 8 -3 5 |