Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160dl |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-677376000000 = -1 · 215 · 33 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3372,-85136] |
[a1,a2,a3,a4,a6] |
j |
-4792616856/765625 |
j-invariant |
L |
3.7263426027901 |
L(r)(E,1)/r! |
Ω |
0.31052855023251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160dg2 10080bg2 20160da2 100800ja2 |
Quadratic twists by: -4 8 -3 5 |