Atkin-Lehner |
2- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3776m |
Isogeny class |
Conductor |
3776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-15837691904 = -1 · 228 · 59 |
Discriminant |
Eigenvalues |
2- -1 -1 -3 2 6 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1601,-24863] |
[a1,a2,a3,a4,a6] |
j |
-1732323601/60416 |
j-invariant |
L |
0.75316436032786 |
L(r)(E,1)/r! |
Ω |
0.37658218016393 |
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 |
3776f1 944h1 33984bv1 94400bs1 |
Quadratic twists by: -4 8 -3 5 |