Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200cn |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2047761000000000 = 29 · 36 · 59 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3744208,2789859412] |
[a1,a2,a3,a4,a6] |
Generators |
[1116:82:1] |
Generators of the group modulo torsion |
j |
5805020111875048/2047761 |
j-invariant |
L |
5.2796417196512 |
L(r)(E,1)/r! |
Ω |
0.37596133883175 |
Real period |
R |
3.5107610948813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999118337 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200dq2 127200bp2 |
Quadratic twists by: -4 5 |