Atkin-Lehner |
2- 5- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
43450ba |
Isogeny class |
Conductor |
43450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-111232000000000 = -1 · 216 · 59 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 2 5- 1 11- 5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13638,-801469] |
[a1,a2,a3,a4,a6] |
j |
-143630847053/56950784 |
j-invariant |
L |
6.9328228686096 |
L(r)(E,1)/r! |
Ω |
0.21665071464317 |
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 |
43450m1 |
Quadratic twists by: 5 |