Atkin-Lehner |
3- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
72561n |
Isogeny class |
Conductor |
72561 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
427680 |
Modular degree for the optimal curve |
Δ |
-765953988561 = -1 · 35 · 196 · 67 |
Discriminant |
Eigenvalues |
-1 3- -3 -3 0 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-286822,-59148331] |
[a1,a2,a3,a4,a6] |
j |
-55467626237353/16281 |
j-invariant |
L |
1.0314933432632 |
L(r)(E,1)/r! |
Ω |
0.10314933407182 |
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 |
201c1 |
Quadratic twists by: -19 |