Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134dd |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-6935391608544 = -1 · 25 · 36 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -6 5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3821,88577] |
[a1,a2,a3,a4,a6] |
Generators |
[74:845:1] |
Generators of the group modulo torsion |
j |
145262087/163296 |
j-invariant |
L |
16.878799758338 |
L(r)(E,1)/r! |
Ω |
0.49721950888649 |
Real period |
R |
0.56577291108724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162x1 106134g1 |
Quadratic twists by: -7 -19 |