Atkin-Lehner |
2+ 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064bi |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-19079055016128 = -1 · 26 · 312 · 23 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -4 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-170223,-27089469] |
[a1,a2,a3,a4,a6] |
Generators |
[18042:841509:8] |
Generators of the group modulo torsion |
j |
-8523167239536832000/298110234627 |
j-invariant |
L |
8.4665109434592 |
L(r)(E,1)/r! |
Ω |
0.11752056614486 |
Real period |
R |
6.0035668684489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064a1 64032i1 |
Quadratic twists by: -4 8 |