Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15138c |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-14903893130976 = -1 · 25 · 33 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -5 -4 -6 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1104,184928] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1207:1] |
Generators of the group modulo torsion |
j |
9261/928 |
j-invariant |
L |
1.2191822685512 |
L(r)(E,1)/r! |
Ω |
0.53755988997759 |
Real period |
R |
0.28349917173928 |
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 |
121104bk1 15138r1 522i1 |
Quadratic twists by: -4 -3 29 |