Atkin-Lehner |
2+ 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
53400a |
Isogeny class |
Conductor |
53400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-1068000000 = -1 · 28 · 3 · 56 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 -2 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-1563] |
[a1,a2,a3,a4,a6] |
Generators |
[13:6:1] [17:50:1] |
Generators of the group modulo torsion |
j |
-1024/267 |
j-invariant |
L |
8.9643809005837 |
L(r)(E,1)/r! |
Ω |
0.69420143451989 |
Real period |
R |
1.6141534097342 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106800q1 2136b1 |
Quadratic twists by: -4 5 |