Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912cz |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7.0609773331287E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1629952,-691981900] |
[a1,a2,a3,a4,a6] |
Generators |
[9963182:18627840:6859] |
Generators of the group modulo torsion |
j |
993802845830257/146526652944 |
j-invariant |
L |
9.1171508102135 |
L(r)(E,1)/r! |
Ω |
0.1349326132809 |
Real period |
R |
8.4460222295864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000088 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9114s2 10416z2 |
Quadratic twists by: -4 -7 |