Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040gk |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
51812845486080 = 222 · 3 · 5 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11041,-285601] |
[a1,a2,a3,a4,a6] |
j |
4826809/1680 |
j-invariant |
L |
1.9160503788963 |
L(r)(E,1)/r! |
Ω |
0.47901259466154 |
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 |
47040m1 11760bx1 6720bv1 |
Quadratic twists by: -4 8 -7 |