Atkin-Lehner |
3- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
4233a |
Isogeny class |
Conductor |
4233 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-472136121 = -1 · 39 · 172 · 83 |
Discriminant |
Eigenvalues |
-1 3- -3 -2 -5 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-222,1629] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:48:1] [-12:57:1] |
Generators of the group modulo torsion |
j |
-1210333063393/472136121 |
j-invariant |
L |
3.0088030169392 |
L(r)(E,1)/r! |
Ω |
1.5615337648979 |
Real period |
R |
0.10704585896311 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67728r1 12699c1 105825a1 71961a1 |
Quadratic twists by: -4 -3 5 17 |