Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984cx |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-339473558863872 = -1 · 216 · 315 · 192 |
Discriminant |
Eigenvalues |
2- 3- 4 3 2 7 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12597,699770] |
[a1,a2,a3,a4,a6] |
j |
205083359/314928 |
j-invariant |
L |
5.880598312673 |
L(r)(E,1)/r! |
Ω |
0.36753739460086 |
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 |
6498y1 17328y1 51984ch1 |
Quadratic twists by: -4 -3 -19 |