Atkin-Lehner |
2+ 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064d |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
2 |
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 |
[44:15:1] |
Generators of the group modulo torsion |
j |
297114826660352/888659441667 |
j-invariant |
L |
2.9979946443351 |
L(r)(E,1)/r! |
Ω |
0.3213039130493 |
Real period |
R |
4.6653568106619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999994871953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064bj1 64032bd1 |
Quadratic twists by: -4 8 |