Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150cs |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-219230673750000000 = -1 · 27 · 32 · 510 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39388,-22730608] |
[a1,a2,a3,a4,a6] |
j |
-390625/12672 |
j-invariant |
L |
3.8413331537353 |
L(r)(E,1)/r! |
Ω |
0.13719046977626 |
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 |
54450by1 18150q1 1650e1 |
Quadratic twists by: -3 5 -11 |