Atkin-Lehner |
2+ 3- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150bh |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4161024 |
Modular degree for the optimal curve |
Δ |
2068110351562500 = 22 · 36 · 513 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23640501,44239863148] |
[a1,a2,a3,a4,a6] |
Generators |
[5237:250506:1] |
Generators of the group modulo torsion |
j |
93513365626022452918081/132359062500 |
j-invariant |
L |
5.902284858353 |
L(r)(E,1)/r! |
Ω |
0.2973084865692 |
Real period |
R |
1.6543660659033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bb1 |
Quadratic twists by: 5 |