Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040dl |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
5.9295096E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1152545,-299645025] |
[a1,a2,a3,a4,a6] |
j |
43919722445768/15380859375 |
j-invariant |
L |
3.5975473756542 |
L(r)(E,1)/r! |
Ω |
0.1498978073319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040bp3 23520bh3 6720h3 |
Quadratic twists by: -4 8 -7 |