Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43296ba |
Isogeny class |
Conductor |
43296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1242500554944 = -1 · 26 · 316 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11+ -6 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,946,52764] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:162:1] |
Generators of the group modulo torsion |
j |
1461362576192/19414071171 |
j-invariant |
L |
8.7583361514401 |
L(r)(E,1)/r! |
Ω |
0.63835627347072 |
Real period |
R |
0.42875431182701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43296i1 86592r1 129888l1 |
Quadratic twists by: -4 8 -3 |