Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784cc |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6649993672261632 = 219 · 34 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-904513,330783935] |
[a1,a2,a3,a4,a6] |
Generators |
[527:864:1] |
Generators of the group modulo torsion |
j |
312196988566716625/25367712678 |
j-invariant |
L |
5.5381577204916 |
L(r)(E,1)/r! |
Ω |
0.40224199025912 |
Real period |
R |
1.7210279678049 |
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 |
14784r4 3696n4 44352ds4 103488fc4 |
Quadratic twists by: -4 8 -3 -7 |