Atkin-Lehner |
3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3885f |
Isogeny class |
Conductor |
3885 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
-26770078125 = -1 · 33 · 57 · 73 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -3 4 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,741,-1193] |
[a1,a2,a3,a4,a6] |
j |
45083805930071/26770078125 |
j-invariant |
L |
2.083047494526 |
L(r)(E,1)/r! |
Ω |
0.694349164842 |
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 |
62160bm1 11655k1 19425k1 27195i1 |
Quadratic twists by: -4 -3 5 -7 |