Atkin-Lehner |
2+ 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6072h |
Isogeny class |
Conductor |
6072 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-975176348940288 = -1 · 211 · 35 · 115 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 11+ -3 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6264,1512432] |
[a1,a2,a3,a4,a6] |
j |
-13274505046514/476160326631 |
j-invariant |
L |
2.0609718849402 |
L(r)(E,1)/r! |
Ω |
0.41219437698804 |
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 |
12144d1 48576r1 18216m1 66792bm1 |
Quadratic twists by: -4 8 -3 -11 |