Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050cl |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-309227201716680000 = -1 · 26 · 36 · 54 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,151308,-14271984] |
[a1,a2,a3,a4,a6] |
Generators |
[1614:38739:8] |
Generators of the group modulo torsion |
j |
174196775/140608 |
j-invariant |
L |
5.4577706703738 |
L(r)(E,1)/r! |
Ω |
0.16988612926474 |
Real period |
R |
2.007878267948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450y2 76050ef2 5850ca2 |
Quadratic twists by: -3 5 13 |