Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768cc |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
8 |
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 |
[165692276893:-3265412924565:2263571297] |
Generators of the group modulo torsion |
j |
129784785047/92307627 |
j-invariant |
L |
6.6229721926583 |
L(r)(E,1)/r! |
Ω |
0.21897709710485 |
Real period |
R |
15.122522583919 |
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 |
24768bc3 6192x4 8256bm4 |
Quadratic twists by: -4 8 -3 |