Atkin-Lehner |
2+ 3- 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
106050w |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
1803910500 = 22 · 36 · 53 · 72 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-606,5308] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:36:1] [8:27:1] |
Generators of the group modulo torsion |
j |
196426902797/14431284 |
j-invariant |
L |
10.190194450933 |
L(r)(E,1)/r! |
Ω |
1.455946655328 |
Real period |
R |
0.58325136290161 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985749 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106050br1 |
Quadratic twists by: 5 |