Atkin-Lehner |
2+ 3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47328j |
Isogeny class |
Conductor |
47328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
-18173952 = -1 · 212 · 32 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 -4 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,207] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-12:1] [-6:15:1] |
Generators of the group modulo torsion |
j |
-1000000/4437 |
j-invariant |
L |
9.9672605581866 |
L(r)(E,1)/r! |
Ω |
1.8973698520246 |
Real period |
R |
0.65664981892911 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47328a1 94656bd1 |
Quadratic twists by: -4 8 |