Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600cw |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
5652480000000 = 220 · 3 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5008,-76012] |
[a1,a2,a3,a4,a6] |
j |
217081801/88320 |
j-invariant |
L |
2.352160145036 |
L(r)(E,1)/r! |
Ω |
0.58804003625894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3450n1 110400gi1 82800cx1 5520r1 |
Quadratic twists by: -4 8 -3 5 |