Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24768bc |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-17640262227197952 = -1 · 218 · 39 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60756,2758448] |
[a1,a2,a3,a4,a6] |
Generators |
[3181:179955:1] |
Generators of the group modulo torsion |
j |
129784785047/92307627 |
j-invariant |
L |
6.6305089313344 |
L(r)(E,1)/r! |
Ω |
0.24665310963654 |
Real period |
R |
3.3602398836087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24768cc3 387d4 8256j4 |
Quadratic twists by: -4 8 -3 |