Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5406i |
Isogeny class |
Conductor |
5406 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
5012918928 = 24 · 38 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2253,40833] |
[a1,a2,a3,a4,a6] |
Generators |
[24:15:1] |
Generators of the group modulo torsion |
j |
1264792655148625/5012918928 |
j-invariant |
L |
6.390329813154 |
L(r)(E,1)/r! |
Ω |
1.3718076580173 |
Real period |
R |
0.29114549039578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43248l1 16218j1 91902r1 |
Quadratic twists by: -4 -3 17 |