Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576du |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-163178053632 = -1 · 215 · 39 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 11- 1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-737,-21153] |
[a1,a2,a3,a4,a6] |
Generators |
[79:-648:1] |
Generators of the group modulo torsion |
j |
-1352899016/4979799 |
j-invariant |
L |
9.007640191359 |
L(r)(E,1)/r! |
Ω |
0.41962306389375 |
Real period |
R |
0.59627853916352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576bz1 24288c1 |
Quadratic twists by: -4 8 |