Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488z |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-56819712 = -1 · 216 · 3 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 4 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1473,21279] |
[a1,a2,a3,a4,a6] |
j |
-18674500/3 |
j-invariant |
L |
3.8372752822749 |
L(r)(E,1)/r! |
Ω |
1.9186376416622 |
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 |
55488ca1 6936a1 55488q1 |
Quadratic twists by: -4 8 17 |