Atkin-Lehner |
2+ 3+ 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672o |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
43051575566877696 = 210 · 36 · 74 · 134 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-596512,-176847920] |
[a1,a2,a3,a4,a6] |
Generators |
[-458:270:1] |
Generators of the group modulo torsion |
j |
22923558624649108612/42042554264529 |
j-invariant |
L |
8.0997291891435 |
L(r)(E,1)/r! |
Ω |
0.17180766837635 |
Real period |
R |
2.9465103679215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999636953 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63336e2 |
Quadratic twists by: -4 |