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 |
Δ |
545409946368 = 28 · 39 · 72 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7479,-246402] |
[a1,a2,a3,a4,a6] |
Generators |
[818:1925:8] |
Generators of the group modulo torsion |
j |
9181699056/108241 |
j-invariant |
L |
5.5871464692495 |
L(r)(E,1)/r! |
Ω |
0.51374567386159 |
Real period |
R |
5.4376579244488 |
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 |
47376w2 11844b2 82908g2 |
Quadratic twists by: -4 -3 -7 |