Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
105120bb |
Isogeny class |
Conductor |
105120 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-3884841000000000000 = -1 · 212 · 36 · 512 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13687452,-19491136704] |
[a1,a2,a3,a4,a6] |
Generators |
[24522:3793500:1] |
Generators of the group modulo torsion |
j |
-94973854331628995904/1301025390625 |
j-invariant |
L |
8.0211081429012 |
L(r)(E,1)/r! |
Ω |
0.039245381011737 |
Real period |
R |
4.2579894798894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105120bc2 11680a2 |
Quadratic twists by: -4 -3 |