Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
10512w |
Isogeny class |
Conductor |
10512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
217976832 = 212 · 36 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -2 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171,-486] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:8:1] [-9:18:1] |
Generators of the group modulo torsion |
j |
185193/73 |
j-invariant |
L |
5.3089854603522 |
L(r)(E,1)/r! |
Ω |
1.3656186782434 |
Real period |
R |
0.97190115090925 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
657d1 42048cg1 1168a1 |
Quadratic twists by: -4 8 -3 |