Atkin-Lehner |
2+ 3+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490d |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8.7698875916703E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12236853,8268542253] |
[a1,a2,a3,a4,a6] |
j |
114387056741228939569/49503729150000000 |
j-invariant |
L |
0.77568543900964 |
L(r)(E,1)/r! |
Ω |
0.096960680320277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
690g4 |
Quadratic twists by: -11 |