Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600db |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-66240000000 = -1 · 212 · 32 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 4 0 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-533,-13437] |
[a1,a2,a3,a4,a6] |
j |
-262144/1035 |
j-invariant |
L |
3.6283794075518 |
L(r)(E,1)/r! |
Ω |
0.45354742594399 |
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 |
1725a1 110400gr1 82800dk1 5520n1 |
Quadratic twists by: -4 8 -3 5 |