Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150bg |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5495040 |
Modular degree for the optimal curve |
Δ |
-3.3459866710121E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1023867,-2811211709] |
[a1,a2,a3,a4,a6] |
j |
-16673509288825/469998676422 |
j-invariant |
L |
1.9621187835377 |
L(r)(E,1)/r! |
Ω |
0.061316211785242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050ck1 84150gt1 |
Quadratic twists by: -3 5 |