Atkin-Lehner |
2+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51136f |
Isogeny class |
Conductor |
51136 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
297393387732992 = 218 · 176 · 47 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22593,-1017569] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:544:1] |
Generators of the group modulo torsion |
j |
4865469108625/1134465743 |
j-invariant |
L |
4.1669608690723 |
L(r)(E,1)/r! |
Ω |
0.39595913996529 |
Real period |
R |
0.43848809642642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51136k2 799b2 |
Quadratic twists by: -4 8 |