Atkin-Lehner |
2+ 3+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040i |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
71237566530000 = 24 · 38 · 54 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10511,88086] |
[a1,a2,a3,a4,a6] |
Generators |
[166:1700:1] |
Generators of the group modulo torsion |
j |
8027441608013824/4452347908125 |
j-invariant |
L |
3.3919280878637 |
L(r)(E,1)/r! |
Ω |
0.53358504992788 |
Real period |
R |
1.5892162309914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520bb1 |
Quadratic twists by: -4 |