Atkin-Lehner |
2- 3- 5- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38940m |
Isogeny class |
Conductor |
38940 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1819010204947940400 = -1 · 24 · 34 · 52 · 113 · 596 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-605045,-192619800] |
[a1,a2,a3,a4,a6] |
j |
-1530972804995388276736/113688137809246275 |
j-invariant |
L |
3.0681394439002 |
L(r)(E,1)/r! |
Ω |
0.085226095663784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116820m3 |
Quadratic twists by: -3 |