Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87362x |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-1.5404757977332E+19 |
Discriminant |
Eigenvalues |
2- 1 0 4 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4063243,3157828081] |
[a1,a2,a3,a4,a6] |
Generators |
[-2310:15949:1] |
Generators of the group modulo torsion |
j |
-246579625/512 |
j-invariant |
L |
14.103523223632 |
L(r)(E,1)/r! |
Ω |
0.22144613111497 |
Real period |
R |
7.0764755689024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
722a2 87362r2 |
Quadratic twists by: -11 -19 |