Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488cn |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-3551232 = -1 · 212 · 3 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 2 5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23,73] |
[a1,a2,a3,a4,a6] |
j |
1088/3 |
j-invariant |
L |
3.5079755811803 |
L(r)(E,1)/r! |
Ω |
1.7539877911122 |
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 |
55488dt1 27744ba1 55488eh1 |
Quadratic twists by: -4 8 17 |