Atkin-Lehner |
3- 7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
54747h |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2333231897661819 = 39 · 7 · 118 · 79 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-719433,235041750] |
[a1,a2,a3,a4,a6] |
Generators |
[-894:13218:1] |
Generators of the group modulo torsion |
j |
56489481401828306833/3200592452211 |
j-invariant |
L |
4.6360294828114 |
L(r)(E,1)/r! |
Ω |
0.43534208210719 |
Real period |
R |
5.3245822920905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18249i3 |
Quadratic twists by: -3 |