Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3762d |
Isogeny class |
Conductor |
3762 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
1287145728 = 28 · 37 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1341,-18491] |
[a1,a2,a3,a4,a6] |
j |
365986170577/1765632 |
j-invariant |
L |
1.5782771614982 |
L(r)(E,1)/r! |
Ω |
0.7891385807491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30096bk1 120384bv1 1254h1 94050cp1 |
Quadratic twists by: -4 8 -3 5 |