Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
4018q |
Isogeny class |
Conductor |
4018 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-2160976832 = -1 · 26 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 0 4 7- -2 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,162,-2131] |
[a1,a2,a3,a4,a6] |
j |
4019679/18368 |
j-invariant |
L |
4.433927792547 |
L(r)(E,1)/r! |
Ω |
0.7389879654245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32144u1 128576be1 36162x1 100450p1 |
Quadratic twists by: -4 8 -3 5 |