Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
24768bt |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-6563818503143424 = -1 · 222 · 39 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 -3 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32724,-3162672] |
[a1,a2,a3,a4,a6] |
Generators |
[1452:55728:1] |
Generators of the group modulo torsion |
j |
751089429/1272112 |
j-invariant |
L |
6.6542457589087 |
L(r)(E,1)/r! |
Ω |
0.22198699779188 |
Real period |
R |
2.4979863029138 |
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 |
24768c2 6192j2 24768bv1 |
Quadratic twists by: -4 8 -3 |