Atkin-Lehner |
2- 3+ 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050bf |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
228049920000000 = 216 · 32 · 57 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45063,3590781] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-838:1] [-189:2418:1] |
Generators of the group modulo torsion |
j |
647686121198761/14595194880 |
j-invariant |
L |
14.011298610093 |
L(r)(E,1)/r! |
Ω |
0.55792034693335 |
Real period |
R |
0.39239748470871 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210q1 |
Quadratic twists by: 5 |