Atkin-Lehner |
2+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17600bb |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-22528000 = -1 · 214 · 53 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,-177] |
[a1,a2,a3,a4,a6] |
j |
5488/11 |
j-invariant |
L |
2.2337331458408 |
L(r)(E,1)/r! |
Ω |
1.1168665729204 |
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 |
17600dg1 2200k1 17600y1 |
Quadratic twists by: -4 8 5 |