Atkin-Lehner |
2- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
71540k |
Isogeny class |
Conductor |
71540 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
687070160 = 24 · 5 · 76 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5945,174460] |
[a1,a2,a3,a4,a6] |
j |
12346507264/365 |
j-invariant |
L |
1.5001798617544 |
L(r)(E,1)/r! |
Ω |
1.5001798642666 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1460a1 |
Quadratic twists by: -7 |