Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680gh |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
55007289630720000 = 216 · 312 · 54 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-134774305,-602269905697] |
[a1,a2,a3,a4,a6] |
Generators |
[19541:2055780:1] |
Generators of the group modulo torsion |
j |
4131094099264285425041956/839344629375 |
j-invariant |
L |
10.58990975731 |
L(r)(E,1)/r! |
Ω |
0.04430959486535 |
Real period |
R |
4.9791274266884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680z4 31920e4 |
Quadratic twists by: -4 8 |