Atkin-Lehner |
2- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
40204g |
Isogeny class |
Conductor |
40204 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
139104 |
Modular degree for the optimal curve |
Δ |
380904632406784 = 28 · 19 · 238 |
Discriminant |
Eigenvalues |
2- 1 -3 2 0 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44612,3488324] |
[a1,a2,a3,a4,a6] |
j |
489808/19 |
j-invariant |
L |
0.53076784578822 |
L(r)(E,1)/r! |
Ω |
0.53076784583552 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
40204a1 |
Quadratic twists by: -23 |