Atkin-Lehner |
2- 3+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
55692h |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41856 |
Modular degree for the optimal curve |
Δ |
668304 = 24 · 33 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 4 13- 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12897,-563743] |
[a1,a2,a3,a4,a6] |
j |
549169064517888/1547 |
j-invariant |
L |
2.6879960751464 |
L(r)(E,1)/r! |
Ω |
0.44799934578043 |
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 |
55692g1 |
Quadratic twists by: -3 |