Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
55776r |
Isogeny class |
Conductor |
55776 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
122112 |
Modular degree for the optimal curve |
Δ |
-1180666368 = -1 · 29 · 34 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 5 2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23000,-1350276] |
[a1,a2,a3,a4,a6] |
j |
-2628186265656008/2305989 |
j-invariant |
L |
2.3260403802195 |
L(r)(E,1)/r! |
Ω |
0.1938366982781 |
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 |
55776d1 111552ba1 |
Quadratic twists by: -4 8 |