Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
128772g |
Isogeny class |
Conductor |
128772 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-3848316243464448 = -1 · 28 · 36 · 710 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 3 -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21609,2722734] |
[a1,a2,a3,a4,a6] |
j |
21168/73 |
j-invariant |
L |
1.8772887767463 |
L(r)(E,1)/r! |
Ω |
0.31288147128558 |
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 |
14308b1 128772e1 |
Quadratic twists by: -3 -7 |