Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
16800f |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
63000000000 = 29 · 32 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2100008,1172031012] |
[a1,a2,a3,a4,a6] |
Generators |
[6938:12199:8] |
Generators of the group modulo torsion |
j |
128025588102048008/7875 |
j-invariant |
L |
3.5859393743391 |
L(r)(E,1)/r! |
Ω |
0.60717982460591 |
Real period |
R |
5.9058934915477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16800by2 33600cl4 50400de4 3360z3 |
Quadratic twists by: -4 8 -3 5 |