Atkin-Lehner |
2- 3- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070v |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-86446887072210000 = -1 · 24 · 39 · 54 · 7 · 894 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,108022,3629337] |
[a1,a2,a3,a4,a6] |
Generators |
[23:2463:1] |
Generators of the group modulo torsion |
j |
191221444503893159/118582835490000 |
j-invariant |
L |
8.9271350706044 |
L(r)(E,1)/r! |
Ω |
0.21060140260011 |
Real period |
R |
2.6492983191004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18690e4 |
Quadratic twists by: -3 |