Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6768l |
Isogeny class |
Conductor |
6768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-561364992 = -1 · 214 · 36 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45,-1134] |
[a1,a2,a3,a4,a6] |
Generators |
[15:54:1] |
Generators of the group modulo torsion |
j |
3375/188 |
j-invariant |
L |
4.141627228171 |
L(r)(E,1)/r! |
Ω |
0.78331103259918 |
Real period |
R |
1.3218335551933 |
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 |
846b1 27072bw1 752a1 |
Quadratic twists by: -4 8 -3 |