Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12384g |
Isogeny class |
Conductor |
12384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-7.7761307817559E+19 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 -1 3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5940876,-5589571552] |
[a1,a2,a3,a4,a6] |
j |
-7765826776893057088/26042104652121 |
j-invariant |
L |
3.0938532749623 |
L(r)(E,1)/r! |
Ω |
0.048341457421287 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12384r1 24768bi1 4128j1 |
Quadratic twists by: -4 8 -3 |