Atkin-Lehner |
2- 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29328t |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
17464111681536 = 212 · 35 · 132 · 473 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -1 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51461,-4505997] |
[a1,a2,a3,a4,a6] |
j |
3679653013295104/4263699141 |
j-invariant |
L |
3.1700018223942 |
L(r)(E,1)/r! |
Ω |
0.31700018223957 |
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 |
1833d1 117312bp1 87984bx1 |
Quadratic twists by: -4 8 -3 |