Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fi |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3998237607383040 = 212 · 314 · 5 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77187,-7672894] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:686:1] |
Generators of the group modulo torsion |
j |
17032120495489/1339001685 |
j-invariant |
L |
5.8771307760054 |
L(r)(E,1)/r! |
Ω |
0.28785408159332 |
Real period |
R |
2.5521310748886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5355q4 28560cf3 |
Quadratic twists by: -4 -3 |