Atkin-Lehner |
2- 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
81498u |
Isogeny class |
Conductor |
81498 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
8257536 |
Modular degree for the optimal curve |
Δ |
-1.1406019483143E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,310958,16248834308] |
[a1,a2,a3,a4,a6] |
Generators |
[11108:1173566:1] |
Generators of the group modulo torsion |
j |
137763859017023/4725421803307008 |
j-invariant |
L |
15.542917345996 |
L(r)(E,1)/r! |
Ω |
0.083168408714752 |
Real period |
R |
1.4600380556282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4794e1 |
Quadratic twists by: 17 |