Atkin-Lehner |
3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51183i |
Isogeny class |
Conductor |
51183 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
18905855131313667 = 37 · 116 · 474 |
Discriminant |
Eigenvalues |
-1 3- -2 0 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-67541,1388522] |
[a1,a2,a3,a4,a6] |
Generators |
[-261:1219:1] [-140:2913:1] |
Generators of the group modulo torsion |
j |
26383748833/14639043 |
j-invariant |
L |
5.8969392466414 |
L(r)(E,1)/r! |
Ω |
0.33509181754703 |
Real period |
R |
1.0998737767246 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17061c4 423c4 |
Quadratic twists by: -3 -11 |