Atkin-Lehner |
2+ 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928j |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36459085824 = 215 · 33 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6156,-185680] |
[a1,a2,a3,a4,a6] |
j |
29161230552/41209 |
j-invariant |
L |
2.1561151657227 |
L(r)(E,1)/r! |
Ω |
0.53902853710032 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928r2 58464b2 116928e2 |
Quadratic twists by: -4 8 -3 |