Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11616x |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
255552 = 26 · 3 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18,-24] |
[a1,a2,a3,a4,a6] |
Generators |
[5:6:1] |
Generators of the group modulo torsion |
j |
8000/3 |
j-invariant |
L |
4.818201242159 |
L(r)(E,1)/r! |
Ω |
2.3806347475072 |
Real period |
R |
2.0239145241429 |
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 |
11616a1 23232b1 34848k1 11616i1 |
Quadratic twists by: -4 8 -3 -11 |