Atkin-Lehner |
2- 3- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
79950bx |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-92102400000000 = -1 · 214 · 33 · 58 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2162,460292] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:404:1] [32:-766:1] |
Generators of the group modulo torsion |
j |
71525054951/5894553600 |
j-invariant |
L |
16.626409223695 |
L(r)(E,1)/r! |
Ω |
0.46074517633431 |
Real period |
R |
0.85918834664458 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990d1 |
Quadratic twists by: 5 |