Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
2280c |
Isogeny class |
Conductor |
2280 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
256500000000000 = 211 · 33 · 512 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27096,1525104] |
[a1,a2,a3,a4,a6] |
Generators |
[135:588:1] |
Generators of the group modulo torsion |
j |
1074299413481138/125244140625 |
j-invariant |
L |
3.3991556278019 |
L(r)(E,1)/r! |
Ω |
0.53484999804358 |
Real period |
R |
4.2368958776425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4560a3 18240m4 6840u3 11400y4 |
Quadratic twists by: -4 8 -3 5 |