Atkin-Lehner |
2- 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18768h |
Isogeny class |
Conductor |
18768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-21512420917248 = -1 · 216 · 3 · 17 · 235 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 5 -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6072,126960] |
[a1,a2,a3,a4,a6] |
j |
6043486088375/5252055888 |
j-invariant |
L |
0.88417410679292 |
L(r)(E,1)/r! |
Ω |
0.44208705339646 |
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 |
2346e1 75072cp1 56304bv1 |
Quadratic twists by: -4 8 -3 |