Atkin-Lehner |
2+ 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450g |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-18760359375000 = -1 · 23 · 39 · 59 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 2 1 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,633,-208459] |
[a1,a2,a3,a4,a6] |
j |
729/488 |
j-invariant |
L |
1.284965478899 |
L(r)(E,1)/r! |
Ω |
0.32124136972479 |
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 |
27450bj1 27450bk1 |
Quadratic twists by: -3 5 |