Atkin-Lehner |
3- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
42081c |
Isogeny class |
Conductor |
42081 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
471744 |
Modular degree for the optimal curve |
Δ |
-1045256680983044907 = -1 · 33 · 138 · 834 |
Discriminant |
Eigenvalues |
0 3- 2 3 2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,251923,-7053367] |
[a1,a2,a3,a4,a6] |
j |
2167597432832/1281374667 |
j-invariant |
L |
2.9176921854446 |
L(r)(E,1)/r! |
Ω |
0.16209401030125 |
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 |
126243m1 42081d1 |
Quadratic twists by: -3 13 |