Atkin-Lehner |
2+ 3+ 7+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354b |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-263484144 = -1 · 24 · 33 · 7 · 11 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-351,-2563] |
[a1,a2,a3,a4,a6] |
Generators |
[6697:544669:1] |
Generators of the group modulo torsion |
j |
-177409591659/9758672 |
j-invariant |
L |
6.6150987863516 |
L(r)(E,1)/r! |
Ω |
0.54966603777137 |
Real period |
R |
6.017380028279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999864755 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123354bj1 |
Quadratic twists by: -3 |