Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
5640f |
Isogeny class |
Conductor |
5640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
318096000000 = 210 · 32 · 56 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47000,3937500] |
[a1,a2,a3,a4,a6] |
j |
11213122573692004/310640625 |
j-invariant |
L |
2.6940641822966 |
L(r)(E,1)/r! |
Ω |
0.89802139409885 |
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 |
11280h2 45120bb2 16920e2 28200k2 |
Quadratic twists by: -4 8 -3 5 |