Atkin-Lehner |
2- 3+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
28644g |
Isogeny class |
Conductor |
28644 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
151905777408 = 28 · 36 · 7 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 11+ 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4796,-124872] |
[a1,a2,a3,a4,a6] |
j |
47666341533904/593381943 |
j-invariant |
L |
3.4446923092623 |
L(r)(E,1)/r! |
Ω |
0.57411538487702 |
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 |
114576by2 85932bo2 |
Quadratic twists by: -4 -3 |