Atkin-Lehner |
2+ 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50562f |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-184974714923293368 = -1 · 23 · 39 · 537 |
Discriminant |
Eigenvalues |
2+ 3- 0 5 3 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1530027,-728356451] |
[a1,a2,a3,a4,a6] |
j |
-24515367625/11448 |
j-invariant |
L |
1.0859318975171 |
L(r)(E,1)/r! |
Ω |
0.067870743599922 |
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 |
16854l1 954k1 |
Quadratic twists by: -3 53 |