Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912cz |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4.0060753395632E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7008192,6456774708] |
[a1,a2,a3,a4,a6] |
Generators |
[1124:930:1] |
Generators of the group modulo torsion |
j |
78993900837812017/8313251597532 |
j-invariant |
L |
9.1171508102135 |
L(r)(E,1)/r! |
Ω |
0.1349326132809 |
Real period |
R |
4.2230111147932 |
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 |
9114s3 10416z3 |
Quadratic twists by: -4 -7 |