Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040hk |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-39862907138880 = -1 · 26 · 32 · 5 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16480,-874630] |
[a1,a2,a3,a4,a6] |
Generators |
[1361772134095518:122324074446985019:168745671576] |
Generators of the group modulo torsion |
j |
-65743598656/5294205 |
j-invariant |
L |
8.9652473804885 |
L(r)(E,1)/r! |
Ω |
0.20971482486213 |
Real period |
R |
21.374853652794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040fq1 23520bi2 6720bk1 |
Quadratic twists by: -4 8 -7 |