Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3588c |
Isogeny class |
Conductor |
3588 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8955648 = 28 · 32 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1108,-13832] |
[a1,a2,a3,a4,a6] |
Generators |
[189:2548:1] |
Generators of the group modulo torsion |
j |
588159250000/34983 |
j-invariant |
L |
3.3548504858521 |
L(r)(E,1)/r! |
Ω |
0.82743427323407 |
Real period |
R |
4.0545220259484 |
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 |
14352z2 57408bs2 10764e2 89700u2 |
Quadratic twists by: -4 8 -3 5 |