Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11844a |
Isogeny class |
Conductor |
11844 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
35538680016 = 24 · 39 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-864,3645] |
[a1,a2,a3,a4,a6] |
Generators |
[55:350:1] |
Generators of the group modulo torsion |
j |
226492416/112847 |
j-invariant |
L |
5.5871464692495 |
L(r)(E,1)/r! |
Ω |
1.0274913477232 |
Real period |
R |
2.7188289622244 |
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 |
47376w1 11844b1 82908g1 |
Quadratic twists by: -4 -3 -7 |