Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680dj |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-37727907840000 = -1 · 215 · 36 · 54 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16801,-883199] |
[a1,a2,a3,a4,a6] |
j |
-16006818542408/1151364375 |
j-invariant |
L |
1.6704326342703 |
L(r)(E,1)/r! |
Ω |
0.20880420418536 |
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 |
127680fq2 63840u2 |
Quadratic twists by: -4 8 |