Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912cz |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7.443700020298E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2744768,-3763035340] |
[a1,a2,a3,a4,a6] |
Generators |
[3530:223440:1] |
Generators of the group modulo torsion |
j |
4745612697439823/15446876516316 |
j-invariant |
L |
9.1171508102135 |
L(r)(E,1)/r! |
Ω |
0.067466306640452 |
Real period |
R |
4.2230111147932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000351 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114s4 10416z4 |
Quadratic twists by: -4 -7 |