Atkin-Lehner |
2- 3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650cn |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13837824 |
Modular degree for the optimal curve |
Δ |
-28763064396000000 = -1 · 28 · 32 · 56 · 117 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11+ 6 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-241058413,1440540580817] |
[a1,a2,a3,a4,a6] |
j |
-99144942546405114122445577/1840836121344 |
j-invariant |
L |
3.0848569325844 |
L(r)(E,1)/r! |
Ω |
0.1928035597216 |
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 |
2706b1 |
Quadratic twists by: 5 |