Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18216h |
Isogeny class |
Conductor |
18216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
3399542784 = 211 · 38 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11+ -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,3382] |
[a1,a2,a3,a4,a6] |
j |
9653618/2277 |
j-invariant |
L |
2.6520877815501 |
L(r)(E,1)/r! |
Ω |
1.326043890775 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36432m1 6072i1 |
Quadratic twists by: -4 -3 |