Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18216c |
Isogeny class |
Conductor |
18216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
97382736 = 24 · 37 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-174,745] |
[a1,a2,a3,a4,a6] |
j |
49948672/8349 |
j-invariant |
L |
3.6208515144317 |
L(r)(E,1)/r! |
Ω |
1.8104257572158 |
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 |
36432f1 6072j1 |
Quadratic twists by: -4 -3 |