Atkin-Lehner |
2+ 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610g |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
1000026931200 = 222 · 3 · 52 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11+ -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11622,-484716] |
[a1,a2,a3,a4,a6] |
j |
173629978755828841/1000026931200 |
j-invariant |
L |
0.91993066755422 |
L(r)(E,1)/r! |
Ω |
0.45996533377711 |
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 |
44880cv1 16830ch1 28050dd1 61710cb1 |
Quadratic twists by: -4 -3 5 -11 |