Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
8010k |
Isogeny class |
Conductor |
8010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-757717948980 = -1 · 22 · 314 · 5 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-392,-41889] |
[a1,a2,a3,a4,a6] |
Generators |
[69:471:1] |
Generators of the group modulo torsion |
j |
-9116230969/1039393620 |
j-invariant |
L |
6.6700240235202 |
L(r)(E,1)/r! |
Ω |
0.39839264896399 |
Real period |
R |
4.1855842727428 |
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 |
64080bg2 2670a2 40050k2 |
Quadratic twists by: -4 -3 5 |