Atkin-Lehner |
2+ 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
47808m |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
134962681614336 = 212 · 314 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80724,-8810080] |
[a1,a2,a3,a4,a6] |
j |
19482480805312/45198729 |
j-invariant |
L |
0.56655153896016 |
L(r)(E,1)/r! |
Ω |
0.28327576964376 |
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 |
47808x2 23904k1 15936f2 |
Quadratic twists by: -4 8 -3 |