Atkin-Lehner |
3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
285c |
Isogeny class |
Conductor |
285 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72 |
Modular degree for the optimal curve |
Δ |
-15582375 = -1 · 38 · 53 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,23,-176] |
[a1,a2,a3,a4,a6] |
j |
1256216039/15582375 |
j-invariant |
L |
1.6268486353037 |
L(r)(E,1)/r! |
Ω |
1.0845657568691 |
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 |
4560bd1 18240bj1 855a1 1425h1 |
Quadratic twists by: -4 8 -3 5 |