Atkin-Lehner |
3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
1443c |
Isogeny class |
Conductor |
1443 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112 |
Modular degree for the optimal curve |
Δ |
4329 = 32 · 13 · 37 |
Discriminant |
Eigenvalues |
-1 3+ -2 -4 -2 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9,6] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:5:1] [-2:5:1] |
Generators of the group modulo torsion |
j |
81182737/4329 |
j-invariant |
L |
1.7034808726393 |
L(r)(E,1)/r! |
Ω |
4.3100832143577 |
Real period |
R |
0.79046310148498 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23088q1 92352be1 4329d1 36075t1 |
Quadratic twists by: -4 8 -3 5 |