Atkin-Lehner |
2- 3- 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
106050cj |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
4058798625000000 = 26 · 38 · 59 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-189263,-31558983] |
[a1,a2,a3,a4,a6] |
Generators |
[-254:505:1] |
Generators of the group modulo torsion |
j |
383876013352733/2078104896 |
j-invariant |
L |
11.261507098028 |
L(r)(E,1)/r! |
Ω |
0.2289679318102 |
Real period |
R |
1.0246619649752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106050l1 |
Quadratic twists by: 5 |