Atkin-Lehner |
2- 3- 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
42570bd |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
71045680899600 = 24 · 38 · 52 · 114 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22127,-1194649] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:184:1] |
Generators of the group modulo torsion |
j |
1643407976674729/97456352400 |
j-invariant |
L |
9.8281191214184 |
L(r)(E,1)/r! |
Ω |
0.39289565391949 |
Real period |
R |
1.5634111473634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14190h2 |
Quadratic twists by: -3 |