Atkin-Lehner |
2+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
80960f |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2972160 |
Modular degree for the optimal curve |
Δ |
-2.4921520096E+19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 5 11+ 0 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2901621,-1918501421] |
[a1,a2,a3,a4,a6] |
Generators |
[25538837606163469615930996:2008842162104979962368081749:3831958587485213224768] |
Generators of the group modulo torsion |
j |
-164902021520455131136/1521088873046875 |
j-invariant |
L |
4.7256459543961 |
L(r)(E,1)/r! |
Ω |
0.0578056654756 |
Real period |
R |
40.875283724489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960bt1 5060e1 |
Quadratic twists by: -4 8 |