Atkin-Lehner |
3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81225p |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3675614557513921875 = -1 · 36 · 56 · 199 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 5 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3086550,2089208531] |
[a1,a2,a3,a4,a6] |
j |
-884736 |
j-invariant |
L |
0.99290705708981 |
L(r)(E,1)/r! |
Ω |
0.24822676014254 |
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 |
9025a2 3249a2 81225p1 |
Quadratic twists by: -3 5 -19 |