Atkin-Lehner |
2+ 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4042a |
Isogeny class |
Conductor |
4042 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-146289098752 = -1 · 215 · 43 · 473 |
Discriminant |
Eigenvalues |
2+ -2 0 -1 0 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1304,-3018] |
[a1,a2,a3,a4,a6] |
j |
245490762458375/146289098752 |
j-invariant |
L |
0.60187752349779 |
L(r)(E,1)/r! |
Ω |
0.60187752349779 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32336i2 129344e2 36378j2 101050n2 |
Quadratic twists by: -4 8 -3 5 |