Atkin-Lehner |
2- 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32850bf |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-5612730468750 = -1 · 2 · 39 · 59 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -2 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4430,161947] |
[a1,a2,a3,a4,a6] |
Generators |
[3316:15185:64] |
Generators of the group modulo torsion |
j |
-250047/146 |
j-invariant |
L |
8.5234279145129 |
L(r)(E,1)/r! |
Ω |
0.70510668077887 |
Real period |
R |
3.0220348731833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32850c1 32850e1 |
Quadratic twists by: -3 5 |