Atkin-Lehner |
2+ 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064bl |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
85418688 = 26 · 3 · 232 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3356,73722] |
[a1,a2,a3,a4,a6] |
Generators |
[5745:17082:125] |
Generators of the group modulo torsion |
j |
65333962144576/1334667 |
j-invariant |
L |
11.427304552428 |
L(r)(E,1)/r! |
Ω |
1.7675934826481 |
Real period |
R |
6.4648940373866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999876901 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064g1 64032n2 |
Quadratic twists by: -4 8 |