Atkin-Lehner |
3- 11+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29667c |
Isogeny class |
Conductor |
29667 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
23473647932482737 = 33 · 113 · 294 · 314 |
Discriminant |
Eigenvalues |
1 3- -2 -4 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-208502,35878331] |
[a1,a2,a3,a4,a6] |
j |
1002423855726014285017/23473647932482737 |
j-invariant |
L |
1.1371109512042 |
L(r)(E,1)/r! |
Ω |
0.37903698373567 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89001i4 |
Quadratic twists by: -3 |