Atkin-Lehner |
3- 5+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
105225n |
Isogeny class |
Conductor |
105225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-399526171875 = -1 · 36 · 58 · 23 · 61 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 -1 3 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-14258,651269] |
[a1,a2,a3,a4,a6] |
Generators |
[554:221:8] |
Generators of the group modulo torsion |
j |
-20516816613376/25569675 |
j-invariant |
L |
18.614867679625 |
L(r)(E,1)/r! |
Ω |
0.94534423733455 |
Real period |
R |
1.6409249789084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21045c1 |
Quadratic twists by: 5 |