Atkin-Lehner |
2- 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
73584y |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1135509435648 = -1 · 28 · 311 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 6 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2193,32650] |
[a1,a2,a3,a4,a6] |
j |
6249886256/6084477 |
j-invariant |
L |
1.1422797156311 |
L(r)(E,1)/r! |
Ω |
0.57113983836904 |
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 |
18396j1 24528q1 |
Quadratic twists by: -4 -3 |