Atkin-Lehner |
2- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23744y |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-22843453578674176 = -1 · 243 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ 3 -4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,46516,-6161776] |
[a1,a2,a3,a4,a6] |
Generators |
[172:2632:1] |
Generators of the group modulo torsion |
j |
42461064302103/87140859904 |
j-invariant |
L |
3.2922702294668 |
L(r)(E,1)/r! |
Ω |
0.19815610504672 |
Real period |
R |
4.1536320931048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23744o1 5936h1 |
Quadratic twists by: -4 8 |