Atkin-Lehner |
2- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
4018l |
Isogeny class |
Conductor |
4018 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
5544 |
Modular degree for the optimal curve |
Δ |
-484058810368 = -1 · 211 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ -4 1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,636,-32635] |
[a1,a2,a3,a4,a6] |
Generators |
[69:553:1] |
Generators of the group modulo torsion |
j |
4934783/83968 |
j-invariant |
L |
6.1853292684509 |
L(r)(E,1)/r! |
Ω |
0.45493115269158 |
Real period |
R |
0.41200568294157 |
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 |
32144n1 128576k1 36162l1 100450d1 |
Quadratic twists by: -4 8 -3 5 |