Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150bi |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14100480 |
Modular degree for the optimal curve |
Δ |
-3.6013912930596E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11+ -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20686167,98229187741] |
[a1,a2,a3,a4,a6] |
j |
-85944135790429956649/316171526414008320 |
j-invariant |
L |
1.1043022206601 |
L(r)(E,1)/r! |
Ω |
0.06901888417736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050cl1 16830cq1 |
Quadratic twists by: -3 5 |