Atkin-Lehner |
2+ 3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38760a |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
486757382400 = 28 · 36 · 52 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2396,30996] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:266:1] |
Generators of the group modulo torsion |
j |
5944638276304/1901396025 |
j-invariant |
L |
4.8052051573648 |
L(r)(E,1)/r! |
Ω |
0.86154217896758 |
Real period |
R |
2.7887231029839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
77520r2 116280cb2 |
Quadratic twists by: -4 -3 |