Atkin-Lehner |
2+ 3+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
106128f |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
341307648 = 28 · 33 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-279,1558] |
[a1,a2,a3,a4,a6] |
Generators |
[6:10:1] |
Generators of the group modulo torsion |
j |
347482224/49379 |
j-invariant |
L |
8.3275580109987 |
L(r)(E,1)/r! |
Ω |
1.6406819066996 |
Real period |
R |
2.5378344165065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53064a1 106128c1 |
Quadratic twists by: -4 -3 |