Atkin-Lehner |
2+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
18224a |
Isogeny class |
Conductor |
18224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
19536128 = 28 · 17 · 672 |
Discriminant |
Eigenvalues |
2+ 0 0 4 0 -6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95,286] |
[a1,a2,a3,a4,a6] |
j |
370386000/76313 |
j-invariant |
L |
2.0515396564341 |
L(r)(E,1)/r! |
Ω |
2.0515396564341 |
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 |
9112e1 72896t1 |
Quadratic twists by: -4 8 |