Atkin-Lehner |
2- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
55900d |
Isogeny class |
Conductor |
55900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
160128 |
Modular degree for the optimal curve |
Δ |
-7859987200 = -1 · 28 · 52 · 134 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 4 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-168493,26564703] |
[a1,a2,a3,a4,a6] |
Generators |
[242:143:1] |
Generators of the group modulo torsion |
j |
-82659334506618880/1228123 |
j-invariant |
L |
4.9907008444278 |
L(r)(E,1)/r! |
Ω |
0.935061010352 |
Real period |
R |
1.3343249234976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55900f1 |
Quadratic twists by: 5 |