Atkin-Lehner |
2- 7+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
81872s |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24772608 |
Modular degree for the optimal curve |
Δ |
-1.370750514127E+26 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ -6 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,44707264,551406091264] |
[a1,a2,a3,a4,a6] |
Generators |
[322464:45088768:27] |
Generators of the group modulo torsion |
j |
2412670602279699472116671/33465588723804142567424 |
j-invariant |
L |
2.7298118206487 |
L(r)(E,1)/r! |
Ω |
0.04318132263892 |
Real period |
R |
2.6340591763393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004412 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10234j1 |
Quadratic twists by: -4 |