Atkin-Lehner |
2- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
57232f |
Isogeny class |
Conductor |
57232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.0514333955047E+21 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4398779,3189902058] |
[a1,a2,a3,a4,a6] |
Generators |
[1221381:16672544:729] |
Generators of the group modulo torsion |
j |
19533135070647297/2181893652512 |
j-invariant |
L |
6.8980843714492 |
L(r)(E,1)/r! |
Ω |
0.15057398533431 |
Real period |
R |
5.726490831173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7154j4 8176a4 |
Quadratic twists by: -4 -7 |