Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576dc |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-411147264 = -1 · 210 · 3 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3- -1 5 11+ 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-401,3111] |
[a1,a2,a3,a4,a6] |
j |
-6981350656/401511 |
j-invariant |
L |
4.9768829511304 |
L(r)(E,1)/r! |
Ω |
1.6589609835391 |
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 |
48576p1 12144c1 |
Quadratic twists by: -4 8 |