Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28704k |
Isogeny class |
Conductor |
28704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8072024064 = -1 · 212 · 3 · 134 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,143,-4225] |
[a1,a2,a3,a4,a6] |
j |
78402752/1970709 |
j-invariant |
L |
5.0811565220431 |
L(r)(E,1)/r! |
Ω |
0.63514456525545 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28704o2 57408p1 86112bg2 |
Quadratic twists by: -4 8 -3 |