Atkin-Lehner |
2+ 3+ 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158c |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6614400 |
Modular degree for the optimal curve |
Δ |
-4.4460553334917E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2084784,-10078991104] |
[a1,a2,a3,a4,a6] |
j |
37114449798004688648421/1646687160552493416448 |
j-invariant |
L |
0.98261803573072 |
L(r)(E,1)/r! |
Ω |
0.054589890749074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67158be1 |
Quadratic twists by: -3 |