Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47376bw |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1.6452772876484E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13218099411,584926950406034] |
[a1,a2,a3,a4,a6] |
Generators |
[66335:-19082:1] |
Generators of the group modulo torsion |
j |
85534885279953799631081702353/551000034711641088 |
j-invariant |
L |
5.4750504158534 |
L(r)(E,1)/r! |
Ω |
0.05774464202697 |
Real period |
R |
2.3703716152963 |
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 |
5922c3 15792s3 |
Quadratic twists by: -4 -3 |