Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
106848bj |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1146880 |
Modular degree for the optimal curve |
Δ |
-17451131203989504 = -1 · 212 · 314 · 75 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -5 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1359048,-609851216] |
[a1,a2,a3,a4,a6] |
Generators |
[2924:-142884:1] |
Generators of the group modulo torsion |
j |
-92969527379908096/5844348531 |
j-invariant |
L |
4.2429642960169 |
L(r)(E,1)/r! |
Ω |
0.069913206660532 |
Real period |
R |
1.5172256070491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106848h1 35616i1 |
Quadratic twists by: -4 -3 |