Atkin-Lehner |
2+ 3- 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774t |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-30504515270922 = -1 · 2 · 39 · 73 · 11 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-674667,213464727] |
[a1,a2,a3,a4,a6] |
j |
-46587022021157640625/41844328218 |
j-invariant |
L |
2.2090711914898 |
L(r)(E,1)/r! |
Ω |
0.55226779381464 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
27258bm2 |
Quadratic twists by: -3 |