Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
23064l |
Isogeny class |
Conductor |
23064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-34265750320229616 = -1 · 24 · 34 · 319 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 2 -4 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-134860,-21085123] |
[a1,a2,a3,a4,a6] |
j |
-19102326016/2413071 |
j-invariant |
L |
1.9790750777956 |
L(r)(E,1)/r! |
Ω |
0.12369219236223 |
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 |
46128c1 69192k1 744f1 |
Quadratic twists by: -4 -3 -31 |