Atkin-Lehner |
2+ 3- 5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
71370d |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
139264 |
Modular degree for the optimal curve |
Δ |
299685484800 = 28 · 310 · 52 · 13 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3285,68341] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:311:1] [-22:371:1] |
Generators of the group modulo torsion |
j |
5378691911761/411091200 |
j-invariant |
L |
6.4143043725456 |
L(r)(E,1)/r! |
Ω |
0.94993389915339 |
Real period |
R |
1.6880922920785 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999469 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790m1 |
Quadratic twists by: -3 |