Atkin-Lehner |
2+ 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
90048y |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
17019072 = 26 · 34 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68,66] |
[a1,a2,a3,a4,a6] |
j |
551368000/265923 |
j-invariant |
L |
3.9035754705758 |
L(r)(E,1)/r! |
Ω |
1.9517876945224 |
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 |
90048a1 45024i2 |
Quadratic twists by: -4 8 |