Atkin-Lehner |
2- 3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47124l |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1523641819392 = -1 · 28 · 310 · 72 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1263,-61850] |
[a1,a2,a3,a4,a6] |
Generators |
[32900:743985:64] |
Generators of the group modulo torsion |
j |
-1193895376/8164233 |
j-invariant |
L |
8.0694805042823 |
L(r)(E,1)/r! |
Ω |
0.35576946334577 |
Real period |
R |
5.6704420528366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15708g2 |
Quadratic twists by: -3 |