Atkin-Lehner |
3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16731g |
Isogeny class |
Conductor |
16731 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
244608 |
Modular degree for the optimal curve |
Δ |
-157365128285922843 = -1 · 313 · 112 · 138 |
Discriminant |
Eigenvalues |
0 3- -2 -3 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2478216,-1501730240] |
[a1,a2,a3,a4,a6] |
j |
-2830523957248/264627 |
j-invariant |
L |
0.48130715834568 |
L(r)(E,1)/r! |
Ω |
0.06016339479321 |
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 |
5577e1 16731i1 |
Quadratic twists by: -3 13 |