Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29328p |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-299696489644032 = -1 · 214 · 311 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 1 3 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,13168,-591852] |
[a1,a2,a3,a4,a6] |
Generators |
[52:486:1] |
Generators of the group modulo torsion |
j |
61643918316527/73168088292 |
j-invariant |
L |
8.2222049629774 |
L(r)(E,1)/r! |
Ω |
0.2932819180127 |
Real period |
R |
1.2743253718426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3666k1 117312cf1 87984bh1 |
Quadratic twists by: -4 8 -3 |