Atkin-Lehner |
2- 5+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
66950u |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
83687500 = 22 · 56 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 -2 13+ 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-163,-683] |
[a1,a2,a3,a4,a6] |
j |
30664297/5356 |
j-invariant |
L |
2.7041336305684 |
L(r)(E,1)/r! |
Ω |
1.3520668198599 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678d1 |
Quadratic twists by: 5 |