Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
23064n |
Isogeny class |
Conductor |
23064 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
190464 |
Modular degree for the optimal curve |
Δ |
-308391752882066544 = -1 · 24 · 36 · 319 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -2 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,168816,-1004067] |
[a1,a2,a3,a4,a6] |
j |
1257728/729 |
j-invariant |
L |
4.367043302112 |
L(r)(E,1)/r! |
Ω |
0.181960137588 |
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 |
46128g1 69192v1 23064j1 |
Quadratic twists by: -4 -3 -31 |