Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280z |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-7231680 = -1 · 26 · 36 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 6 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-182] |
[a1,a2,a3,a4,a6] |
j |
-262144/155 |
j-invariant |
L |
0.88295499688792 |
L(r)(E,1)/r! |
Ω |
0.8829550362687 |
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 |
89280en1 1395d1 9920i1 |
Quadratic twists by: -4 8 -3 |