Atkin-Lehner |
2+ 3- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5406d |
Isogeny class |
Conductor |
5406 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
75279476458656 = 25 · 312 · 174 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13435,-431194] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:410:1] |
Generators of the group modulo torsion |
j |
268157689840890793/75279476458656 |
j-invariant |
L |
3.7587331966363 |
L(r)(E,1)/r! |
Ω |
0.4528745942105 |
Real period |
R |
0.6916434933437 |
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 |
43248n3 16218q4 91902b3 |
Quadratic twists by: -4 -3 17 |