Atkin-Lehner |
3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585bf |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-333201380085 = -1 · 37 · 5 · 77 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -5 -4 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,-27770] |
[a1,a2,a3,a4,a6] |
Generators |
[170:2120:1] |
Generators of the group modulo torsion |
j |
-1/3885 |
j-invariant |
L |
6.0398094685414 |
L(r)(E,1)/r! |
Ω |
0.44087647036793 |
Real period |
R |
1.7124438129472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948625 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27195g1 11655g1 |
Quadratic twists by: -3 -7 |