Atkin-Lehner |
2+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
3904c |
Isogeny class |
Conductor |
3904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-15990784 = -1 · 218 · 61 |
Discriminant |
Eigenvalues |
2+ 2 3 1 5 -1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129,641] |
[a1,a2,a3,a4,a6] |
j |
-912673/61 |
j-invariant |
L |
4.3368224655566 |
L(r)(E,1)/r! |
Ω |
2.1684112327783 |
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 |
3904j1 61a1 35136bb1 97600s1 |
Quadratic twists by: -4 8 -3 5 |