Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160eg |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10666233446400 = 214 · 312 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7068,166192] |
[a1,a2,a3,a4,a6] |
j |
3269383504/893025 |
j-invariant |
L |
2.6904563435126 |
L(r)(E,1)/r! |
Ω |
0.67261408587814 |
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 |
20160bh2 5040s2 6720cn2 100800mb2 |
Quadratic twists by: -4 8 -3 5 |