Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50784b |
Isogeny class |
Conductor |
50784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-1037463933002688 = -1 · 26 · 32 · 239 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -2 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20278,1913824] |
[a1,a2,a3,a4,a6] |
j |
-8000/9 |
j-invariant |
L |
0.89313890375977 |
L(r)(E,1)/r! |
Ω |
0.44656945220883 |
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 |
50784j1 101568dh1 50784c1 |
Quadratic twists by: -4 8 -23 |