Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784c |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-154236369272832 = -1 · 215 · 38 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10977,747297] |
[a1,a2,a3,a4,a6] |
Generators |
[33:648:1] |
Generators of the group modulo torsion |
j |
-4464412682696/4706920449 |
j-invariant |
L |
4.5434685763761 |
L(r)(E,1)/r! |
Ω |
0.52456871631941 |
Real period |
R |
1.082667636057 |
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 |
14784bl4 7392e4 44352bp3 103488dh3 |
Quadratic twists by: -4 8 -3 -7 |