Atkin-Lehner |
2+ 3+ 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050d |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
118089326250000 = 24 · 33 · 57 · 73 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20750,-1033500] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:90:1] [-682:3169:8] |
Generators of the group modulo torsion |
j |
63239829700321/7557716880 |
j-invariant |
L |
7.4490186101223 |
L(r)(E,1)/r! |
Ω |
0.40088799002779 |
Real period |
R |
1.548441375403 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210bb1 |
Quadratic twists by: 5 |