Atkin-Lehner |
2+ 7- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
13846d |
Isogeny class |
Conductor |
13846 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-2481324740188 = -1 · 22 · 73 · 232 · 434 |
Discriminant |
Eigenvalues |
2+ 2 -4 7- 4 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2548,58460] |
[a1,a2,a3,a4,a6] |
Generators |
[754:20392:1] |
Generators of the group modulo torsion |
j |
1828334419523639/2481324740188 |
j-invariant |
L |
4.1596171123078 |
L(r)(E,1)/r! |
Ω |
0.54925856369638 |
Real period |
R |
0.63109577577856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110768n1 124614u1 96922h1 |
Quadratic twists by: -4 -3 -7 |