Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4080s |
Isogeny class |
Conductor |
4080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2962701562500000000 = -1 · 28 · 38 · 514 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-407716,-129860084] |
[a1,a2,a3,a4,a6] |
Generators |
[67959385727519:1068911829843750:77254345979] |
Generators of the group modulo torsion |
j |
-29279123829148431184/11573052978515625 |
j-invariant |
L |
2.9707016689701 |
L(r)(E,1)/r! |
Ω |
0.092657450040736 |
Real period |
R |
16.030560239161 |
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 |
1020f2 16320cy2 12240bv2 20400cw2 |
Quadratic twists by: -4 8 -3 5 |