Atkin-Lehner |
3- 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
54825j |
Isogeny class |
Conductor |
54825 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-31849041796875 = -1 · 38 · 58 · 172 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 3 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5388,-311733] |
[a1,a2,a3,a4,a6] |
Generators |
[327:5574:1] |
Generators of the group modulo torsion |
j |
-44284472545/81533547 |
j-invariant |
L |
3.8909949921367 |
L(r)(E,1)/r! |
Ω |
0.26260189426263 |
Real period |
R |
0.30868930286027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54825a1 |
Quadratic twists by: 5 |