Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
127800bj |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-5175900000000 = -1 · 28 · 36 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3825,-60750] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-450:1] |
Generators of the group modulo torsion |
j |
2122416/1775 |
j-invariant |
L |
6.209137249697 |
L(r)(E,1)/r! |
Ω |
0.42324777671738 |
Real period |
R |
0.91688863611069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14200c1 25560b1 |
Quadratic twists by: -3 5 |