Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90816cd |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1142729736192 = 228 · 32 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4993,124031] |
[a1,a2,a3,a4,a6] |
Generators |
[970:9177:8] |
Generators of the group modulo torsion |
j |
52523718625/4359168 |
j-invariant |
L |
9.6448376698845 |
L(r)(E,1)/r! |
Ω |
0.8479242068093 |
Real period |
R |
5.6873229885866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90816t1 22704bb1 |
Quadratic twists by: -4 8 |