Atkin-Lehner |
2- 3+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18096z |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
2098486661087232 = 236 · 34 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32024,100080] |
[a1,a2,a3,a4,a6] |
j |
886755839141017/512325844992 |
j-invariant |
L |
0.78831289921039 |
L(r)(E,1)/r! |
Ω |
0.3941564496052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2262h1 72384cv1 54288bs1 |
Quadratic twists by: -4 8 -3 |