Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55660h |
Isogeny class |
Conductor |
55660 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-17562748945829120 = -1 · 28 · 5 · 1110 · 232 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11- 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,53684,-4229080] |
[a1,a2,a3,a4,a6] |
j |
2576816/2645 |
j-invariant |
L |
1.6890566006245 |
L(r)(E,1)/r! |
Ω |
0.21113207483156 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55660i1 |
Quadratic twists by: -11 |