Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4232f |
Isogeny class |
Conductor |
4232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-194672 = -1 · 24 · 233 |
Discriminant |
Eigenvalues |
2- -1 2 2 -6 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8,17] |
[a1,a2,a3,a4,a6] |
Generators |
[8:23:1] |
Generators of the group modulo torsion |
j |
256 |
j-invariant |
L |
3.4314652193616 |
L(r)(E,1)/r! |
Ω |
2.2676308611054 |
Real period |
R |
0.37830950334756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8464c1 33856g1 38088m1 105800d1 |
Quadratic twists by: -4 8 -3 5 |