Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680dh |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
214502400000000 = 216 · 32 · 58 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-715841,-232876959] |
[a1,a2,a3,a4,a6] |
j |
619004912314743364/3273046875 |
j-invariant |
L |
1.313063073931 |
L(r)(E,1)/r! |
Ω |
0.16413284583591 |
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 |
127680cq4 31920n4 |
Quadratic twists by: -4 8 |