Atkin-Lehner |
2+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
4214a |
Isogeny class |
Conductor |
4214 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
22864256231885488 = 24 · 716 · 43 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-162640,24215568] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:7083:1] |
Generators of the group modulo torsion |
j |
4044073786633161/194342971312 |
j-invariant |
L |
3.2547793609368 |
L(r)(E,1)/r! |
Ω |
0.37593576183417 |
Real period |
R |
4.3289036204708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33712j2 37926cc2 105350cb2 602a2 |
Quadratic twists by: -4 -3 5 -7 |