Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160dc |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1083801600 = -1 · 215 · 33 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,1584] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:40:1] |
Generators of the group modulo torsion |
j |
-216/1225 |
j-invariant |
L |
5.5724431617663 |
L(r)(E,1)/r! |
Ω |
1.2432259003767 |
Real period |
R |
0.56028063364004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160dh2 10080a2 20160cq2 100800jq2 |
Quadratic twists by: -4 8 -3 5 |