Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18216f |
Isogeny class |
Conductor |
18216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-484946451350064 = -1 · 24 · 316 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12774,-1196395] |
[a1,a2,a3,a4,a6] |
Generators |
[142670:4794327:125] |
Generators of the group modulo torsion |
j |
-19763185027072/41576341851 |
j-invariant |
L |
6.157891330844 |
L(r)(E,1)/r! |
Ω |
0.21057533097978 |
Real period |
R |
7.3107938406081 |
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 |
36432o1 6072e1 |
Quadratic twists by: -4 -3 |