Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160dz |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12904825651200 = 215 · 38 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86988,-9873488] |
[a1,a2,a3,a4,a6] |
j |
3047363673992/540225 |
j-invariant |
L |
2.2239720512263 |
L(r)(E,1)/r! |
Ω |
0.27799650640328 |
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 |
20160dq3 10080z2 6720ck3 100800kz4 |
Quadratic twists by: -4 8 -3 5 |