Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768p |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
294445301203206144 = 232 · 313 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1103916,-445664720] |
[a1,a2,a3,a4,a6] |
j |
778510269523657/1540767744 |
j-invariant |
L |
0.58921958663119 |
L(r)(E,1)/r! |
Ω |
0.14730489665778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24768cp1 774h1 8256m1 |
Quadratic twists by: -4 8 -3 |