Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784bv |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
28850798592 = 214 · 33 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2347889,1385510865] |
[a1,a2,a3,a4,a6] |
Generators |
[867:924:1] |
Generators of the group modulo torsion |
j |
87364831012240243408/1760913 |
j-invariant |
L |
3.3600727744452 |
L(r)(E,1)/r! |
Ω |
0.61213469117349 |
Real period |
R |
0.91485115473629 |
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 |
14784bf1 3696i1 44352dl1 103488ir1 |
Quadratic twists by: -4 8 -3 -7 |