Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60320v |
Isogeny class |
Conductor |
60320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-227406400000000 = -1 · 212 · 58 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 2 5- 4 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23265,-1538863] |
[a1,a2,a3,a4,a6] |
Generators |
[899:26520:1] |
Generators of the group modulo torsion |
j |
-340009930870336/55519140625 |
j-invariant |
L |
10.766374528102 |
L(r)(E,1)/r! |
Ω |
0.19156638873467 |
Real period |
R |
3.5126120633944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60320h2 120640x1 |
Quadratic twists by: -4 8 |