Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1176a |
Isogeny class |
Conductor |
1176 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-39846304512 = -1 · 28 · 33 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -6 -3 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-457,-10163] |
[a1,a2,a3,a4,a6] |
Generators |
[33:98:1] |
Generators of the group modulo torsion |
j |
-7168/27 |
j-invariant |
L |
2.4043831351282 |
L(r)(E,1)/r! |
Ω |
0.47234403578455 |
Real period |
R |
0.42419348204086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2352f1 9408x1 3528u1 29400dw1 |
Quadratic twists by: -4 8 -3 5 |