Atkin-Lehner |
2- 3- 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
82416k |
Isogeny class |
Conductor |
82416 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2451456 |
Modular degree for the optimal curve |
Δ |
-3.9618288292039E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -6 -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-165960,-304006284] |
[a1,a2,a3,a4,a6] |
j |
-123417475726848841/9672433665048576 |
j-invariant |
L |
2.5250536001595 |
L(r)(E,1)/r! |
Ω |
0.090180485388011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10302a1 |
Quadratic twists by: -4 |