Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4080d |
Isogeny class |
Conductor |
4080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6391653661584000000 = 210 · 314 · 56 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1690656,-836766000] |
[a1,a2,a3,a4,a6] |
Generators |
[-40988008:45086524:50653] |
Generators of the group modulo torsion |
j |
521902963282042184836/6241849278890625 |
j-invariant |
L |
3.3040547961705 |
L(r)(E,1)/r! |
Ω |
0.13249507993248 |
Real period |
R |
12.468594297442 |
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 |
2040f2 16320cx2 12240z2 20400bk2 |
Quadratic twists by: -4 8 -3 5 |