Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280fl |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-208272384000000 = -1 · 216 · 38 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8652,-760304] |
[a1,a2,a3,a4,a6] |
j |
-1499221444/4359375 |
j-invariant |
L |
2.7491478030524 |
L(r)(E,1)/r! |
Ω |
0.22909565611673 |
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 |
89280cz1 22320f1 29760ci1 |
Quadratic twists by: -4 8 -3 |