Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384cy |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2653253867962368 = 215 · 318 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89004,-9915248] |
[a1,a2,a3,a4,a6] |
j |
3264185445704/111071169 |
j-invariant |
L |
2.2158663673618 |
L(r)(E,1)/r! |
Ω |
0.27698329982493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384dh3 60192u3 40128ce3 |
Quadratic twists by: -4 8 -3 |