Atkin-Lehner |
2- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3776l |
Isogeny class |
Conductor |
3776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
-60416 = -1 · 210 · 59 |
Discriminant |
Eigenvalues |
2- 1 -3 1 6 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37,-101] |
[a1,a2,a3,a4,a6] |
j |
-5619712/59 |
j-invariant |
L |
1.9302056816462 |
L(r)(E,1)/r! |
Ω |
0.9651028408231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3776h1 944j1 33984bz1 94400bv1 |
Quadratic twists by: -4 8 -3 5 |