Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176bm |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-4.8291441281585E+20 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -1 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1435317,-824494554] |
[a1,a2,a3,a4,a6] |
Generators |
[8034:322959:8] |
Generators of the group modulo torsion |
j |
1225217998314/1809323971 |
j-invariant |
L |
5.4503156479679 |
L(r)(E,1)/r! |
Ω |
0.087915789709319 |
Real period |
R |
1.1070487511723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85176h1 6552a1 |
Quadratic twists by: -3 13 |