Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488dn |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-1190957300218773504 = -1 · 214 · 311 · 177 |
Discriminant |
Eigenvalues |
2- 3- -1 4 -3 -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1874261,988397811] |
[a1,a2,a3,a4,a6] |
Generators |
[742:2601:1] |
Generators of the group modulo torsion |
j |
-1841198792704/3011499 |
j-invariant |
L |
7.6407696749112 |
L(r)(E,1)/r! |
Ω |
0.27360698468268 |
Real period |
R |
0.63468356427604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488f1 13872t1 3264q1 |
Quadratic twists by: -4 8 17 |