Atkin-Lehner |
3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
47961c |
Isogeny class |
Conductor |
47961 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.4763083235365E+21 |
Discriminant |
Eigenvalues |
1 3- 0 -2 6 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19329282,32590926423] |
[a1,a2,a3,a4,a6] |
j |
18609625/81 |
j-invariant |
L |
2.5463593500105 |
L(r)(E,1)/r! |
Ω |
0.14146440836011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15987g2 47961b2 |
Quadratic twists by: -3 73 |