Atkin-Lehner |
2+ 3- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
81576d |
Isogeny class |
Conductor |
81576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-45672118272 = -1 · 211 · 39 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 6 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,285,-10114] |
[a1,a2,a3,a4,a6] |
Generators |
[70:594:1] |
Generators of the group modulo torsion |
j |
1714750/30591 |
j-invariant |
L |
5.56233809762 |
L(r)(E,1)/r! |
Ω |
0.55330894605946 |
Real period |
R |
2.5132153297021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27192b1 |
Quadratic twists by: -3 |