Atkin-Lehner |
2- 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42224i |
Isogeny class |
Conductor |
42224 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3072642506752 = -1 · 213 · 7 · 133 · 293 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 0 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1008,85568] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:312:1] |
Generators of the group modulo torsion |
j |
-27680640625/750156862 |
j-invariant |
L |
8.2130041139141 |
L(r)(E,1)/r! |
Ω |
0.66912385553951 |
Real period |
R |
1.0228554905447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5278g2 |
Quadratic twists by: -4 |