Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
16704de |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-39817158294528 = -1 · 210 · 313 · 293 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 5 -1 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2004,-301624] |
[a1,a2,a3,a4,a6] |
j |
1192310528/53338743 |
j-invariant |
L |
1.8586715884439 |
L(r)(E,1)/r! |
Ω |
0.30977859807398 |
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 |
16704bj1 4176f1 5568s1 |
Quadratic twists by: -4 8 -3 |