Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6600u |
Isogeny class |
Conductor |
6600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
384912000000 = 210 · 37 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-200408,-34465188] |
[a1,a2,a3,a4,a6] |
j |
55635379958596/24057 |
j-invariant |
L |
2.0307811861969 |
L(r)(E,1)/r! |
Ω |
0.22564235402188 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13200x1 52800cx1 19800l1 264d1 |
Quadratic twists by: -4 8 -3 5 |