Atkin-Lehner |
2+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400m |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-31185872932044800 = -1 · 221 · 52 · 296 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 3 -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,36767,8063743] |
[a1,a2,a3,a4,a6] |
j |
838699829375/4758586568 |
j-invariant |
L |
3.21334555371 |
L(r)(E,1)/r! |
Ω |
0.26777879613194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400ca2 1450b2 46400bg2 |
Quadratic twists by: -4 8 5 |