Atkin-Lehner |
3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
4389b |
Isogeny class |
Conductor |
4389 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
208 |
Modular degree for the optimal curve |
Δ |
4389 = 3 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
0 3+ 1 7- 11+ 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5,5] |
[a1,a2,a3,a4,a6] |
Generators |
[1:0:1] |
Generators of the group modulo torsion |
j |
16777216/4389 |
j-invariant |
L |
2.7824320190232 |
L(r)(E,1)/r! |
Ω |
4.0827324668426 |
Real period |
R |
0.68151220821358 |
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 |
70224ci1 13167n1 109725bn1 30723w1 |
Quadratic twists by: -4 -3 5 -7 |