Atkin-Lehner |
3- 7- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
127323g |
Isogeny class |
Conductor |
127323 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
356352 |
Modular degree for the optimal curve |
Δ |
-121202447027067 = -1 · 312 · 74 · 43 · 472 |
Discriminant |
Eigenvalues |
0 3- 2 7- 5 1 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6114,-560732] |
[a1,a2,a3,a4,a6] |
j |
-34671488499712/166258500723 |
j-invariant |
L |
3.9073999751052 |
L(r)(E,1)/r! |
Ω |
0.24421255051087 |
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 |
42441b1 |
Quadratic twists by: -3 |