Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784cc |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
600722267701248 = 221 · 312 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23233,-691393] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:576:1] |
Generators of the group modulo torsion |
j |
5290763640625/2291573592 |
j-invariant |
L |
5.5381577204916 |
L(r)(E,1)/r! |
Ω |
0.40224199025912 |
Real period |
R |
0.5736759892683 |
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 |
14784r2 3696n2 44352ds2 103488fc2 |
Quadratic twists by: -4 8 -3 -7 |