Atkin-Lehner |
3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51183i |
Isogeny class |
Conductor |
51183 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
25675674691689 = 38 · 116 · 472 |
Discriminant |
Eigenvalues |
-1 3- -2 0 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51206,4466036] |
[a1,a2,a3,a4,a6] |
Generators |
[36:1615:1] [1086:-133:8] |
Generators of the group modulo torsion |
j |
11497268593/19881 |
j-invariant |
L |
5.8969392466414 |
L(r)(E,1)/r! |
Ω |
0.67018363509406 |
Real period |
R |
4.3994951068982 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17061c2 423c2 |
Quadratic twists by: -3 -11 |