Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47124t |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.0886312620987E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5556351,-5043683626] |
[a1,a2,a3,a4,a6] |
Generators |
[108871570:1124761077:39304] |
Generators of the group modulo torsion |
j |
-101654178885786969808/58332865124457 |
j-invariant |
L |
4.9094241883478 |
L(r)(E,1)/r! |
Ω |
0.049165130179158 |
Real period |
R |
12.481976988711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15708c2 |
Quadratic twists by: -3 |