Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
48216q |
Isogeny class |
Conductor |
48216 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-504412742437632 = -1 · 28 · 35 · 76 · 413 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 1 -4 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18097,-1436317] |
[a1,a2,a3,a4,a6] |
j |
-21764027392/16747803 |
j-invariant |
L |
3.9837395736251 |
L(r)(E,1)/r! |
Ω |
0.19918697868504 |
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 |
96432b1 984c1 |
Quadratic twists by: -4 -7 |