Atkin-Lehner |
2+ 3- 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050ba |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
1431675000000 = 26 · 34 · 58 · 7 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -5 -4 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3076,31298] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:286:1] [-23:311:1] |
Generators of the group modulo torsion |
j |
8236063705/3665088 |
j-invariant |
L |
10.071289599255 |
L(r)(E,1)/r! |
Ω |
0.76602444764591 |
Real period |
R |
0.54781158463969 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106050bh1 |
Quadratic twists by: 5 |