Atkin-Lehner |
3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
19881c |
Isogeny class |
Conductor |
19881 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
9971862880073229 = 39 · 477 |
Discriminant |
Eigenvalues |
2 3+ -3 1 3 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-178929,28733015] |
[a1,a2,a3,a4,a6] |
j |
2985984/47 |
j-invariant |
L |
3.2682579429111 |
L(r)(E,1)/r! |
Ω |
0.40853224286389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19881d1 423d1 |
Quadratic twists by: -3 -47 |