Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148cu |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
3856790784 = 28 · 3 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4517,-118329] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:6:1] |
Generators of the group modulo torsion |
j |
7929856/3 |
j-invariant |
L |
5.3173896198335 |
L(r)(E,1)/r! |
Ω |
0.58235643738065 |
Real period |
R |
1.5218027078493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148y1 71148cs1 |
Quadratic twists by: -7 -11 |