Atkin-Lehner |
2- 3- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
55224p |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-939145529088 = -1 · 28 · 314 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1329,-42734] |
[a1,a2,a3,a4,a6] |
Generators |
[35:216:1] |
Generators of the group modulo torsion |
j |
1391012912/5032287 |
j-invariant |
L |
4.2556079099021 |
L(r)(E,1)/r! |
Ω |
0.44905972831593 |
Real period |
R |
2.3691769944637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110448n1 18408e1 |
Quadratic twists by: -4 -3 |