Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50784f |
Isogeny class |
Conductor |
50784 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
114816 |
Modular degree for the optimal curve |
Δ |
-120285673391616 = -1 · 29 · 3 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -1 3 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4056,-519576] |
[a1,a2,a3,a4,a6] |
j |
184/3 |
j-invariant |
L |
0.28755211628182 |
L(r)(E,1)/r! |
Ω |
0.28755211650637 |
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 |
50784o1 101568dk1 50784e1 |
Quadratic twists by: -4 8 -23 |