Atkin-Lehner |
2- 3+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
106128t |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
14345109504 = 216 · 33 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-771,5890] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:110:1] [2:66:1] |
Generators of the group modulo torsion |
j |
458314011/129712 |
j-invariant |
L |
10.605875167087 |
L(r)(E,1)/r! |
Ω |
1.1645253011445 |
Real period |
R |
2.276866624619 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13266b1 106128x1 |
Quadratic twists by: -4 -3 |