Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040fb |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
340021798502400 = 218 · 32 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23585,-1067583] |
[a1,a2,a3,a4,a6] |
j |
47045881/11025 |
j-invariant |
L |
1.5670738516529 |
L(r)(E,1)/r! |
Ω |
0.39176846298137 |
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 |
47040df2 11760ce2 6720bx2 |
Quadratic twists by: -4 8 -7 |