Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126dm |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
128043723459283632 = 24 · 39 · 76 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-164135,-18898001] |
[a1,a2,a3,a4,a6] |
Generators |
[-283:2338:1] |
Generators of the group modulo torsion |
j |
211176358875/55294096 |
j-invariant |
L |
11.056841833596 |
L(r)(E,1)/r! |
Ω |
0.24180205783595 |
Real period |
R |
2.8579269261413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039273 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126o2 2574r2 |
Quadratic twists by: -3 -7 |