Atkin-Lehner |
2+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
26560h |
Isogeny class |
Conductor |
26560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-135987200 = -1 · 216 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ -1 5- 1 -3 4 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-575] |
[a1,a2,a3,a4,a6] |
Generators |
[15:40:1] |
Generators of the group modulo torsion |
j |
-470596/2075 |
j-invariant |
L |
4.6899297006672 |
L(r)(E,1)/r! |
Ω |
0.7626518614839 |
Real period |
R |
1.5373756813305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26560r1 3320a1 |
Quadratic twists by: -4 8 |