Atkin-Lehner |
2- 3+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
90246p |
Isogeny class |
Conductor |
90246 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-815443583786208 = -1 · 25 · 33 · 139 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 -6 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-55689,-5264745] |
[a1,a2,a3,a4,a6] |
j |
-3957057343513/168940512 |
j-invariant |
L |
3.1000847472367 |
L(r)(E,1)/r! |
Ω |
0.15500423741772 |
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 |
6942b1 |
Quadratic twists by: 13 |