Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600hy |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-459000000 = -1 · 26 · 33 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 1 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-883,9863] |
[a1,a2,a3,a4,a6] |
Generators |
[14:21:1] |
Generators of the group modulo torsion |
j |
-76225024/459 |
j-invariant |
L |
9.1819973907753 |
L(r)(E,1)/r! |
Ω |
1.6753414388615 |
Real period |
R |
1.8268907615552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600fo1 40800bg1 3264u1 |
Quadratic twists by: -4 8 5 |