Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200dx |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.9168782688256E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-965900,-140310000] |
[a1,a2,a3,a4,a6] |
j |
24331017010833/12004097336 |
j-invariant |
L |
1.2813713289163 |
L(r)(E,1)/r! |
Ω |
0.16017134227647 |
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 |
123200ca3 30800bh3 4928bb3 |
Quadratic twists by: -4 8 5 |