Atkin-Lehner |
2- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
8080g |
Isogeny class |
Conductor |
8080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-20684800000000 = -1 · 219 · 58 · 101 |
Discriminant |
Eigenvalues |
2- 0 5- 5 0 -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6853,14186] |
[a1,a2,a3,a4,a6] |
Generators |
[7:250:1] |
Generators of the group modulo torsion |
j |
8689723536879/5050000000 |
j-invariant |
L |
4.9695221366616 |
L(r)(E,1)/r! |
Ω |
0.41092394996345 |
Real period |
R |
0.75584578014735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1010a1 32320p1 72720bt1 40400m1 |
Quadratic twists by: -4 8 -3 5 |