Atkin-Lehner |
2- 3- 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
82416o |
Isogeny class |
Conductor |
82416 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-28059392238336 = -1 · 28 · 37 · 173 · 1012 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 1 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8517,392751] |
[a1,a2,a3,a4,a6] |
Generators |
[306:5151:1] [-85:714:1] |
Generators of the group modulo torsion |
j |
-266928335945728/109607000931 |
j-invariant |
L |
10.54241927829 |
L(r)(E,1)/r! |
Ω |
0.62374080317337 |
Real period |
R |
0.20121337383688 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20604c1 |
Quadratic twists by: -4 |