Atkin-Lehner |
2+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
23072a |
Isogeny class |
Conductor |
23072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
266158592 = 29 · 72 · 1032 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 6 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-488,-3916] |
[a1,a2,a3,a4,a6] |
Generators |
[7428:122570:27] |
Generators of the group modulo torsion |
j |
25153757000/519841 |
j-invariant |
L |
7.8806888456965 |
L(r)(E,1)/r! |
Ω |
1.0168717228824 |
Real period |
R |
3.8749670525589 |
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 |
23072b2 46144l2 |
Quadratic twists by: -4 8 |