Atkin-Lehner |
2+ 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064bj |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-56874204266688 = -1 · 26 · 32 · 237 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 1 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5561,327707] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:36501:64] |
Generators of the group modulo torsion |
j |
297114826660352/888659441667 |
j-invariant |
L |
9.6728268744908 |
L(r)(E,1)/r! |
Ω |
0.4418229569015 |
Real period |
R |
1.5637852146783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999683426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064d1 64032k1 |
Quadratic twists by: -4 8 |