Atkin-Lehner |
2+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
8080b |
Isogeny class |
Conductor |
8080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2663946265600 = -1 · 210 · 52 · 1014 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2867,98274] |
[a1,a2,a3,a4,a6] |
Generators |
[-366:2925:8] |
Generators of the group modulo torsion |
j |
-2545111623204/2601510025 |
j-invariant |
L |
3.7564027817095 |
L(r)(E,1)/r! |
Ω |
0.73643849721828 |
Real period |
R |
5.1007691693174 |
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 |
4040b4 32320l3 72720k3 40400d3 |
Quadratic twists by: -4 8 -3 5 |