Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
81585k |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-8.8519052243685E+21 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -2 -5 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3590328,5229432108] |
[a1,a2,a3,a4,a6] |
Generators |
[-406:81364:1] |
Generators of the group modulo torsion |
j |
-59677458829410304/103209811999875 |
j-invariant |
L |
3.2962888786871 |
L(r)(E,1)/r! |
Ω |
0.11647848714347 |
Real period |
R |
3.5374438653441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27195s1 11655m1 |
Quadratic twists by: -3 -7 |