Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600cx |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-1193859000000 = -1 · 26 · 35 · 56 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 5 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1383,-56637] |
[a1,a2,a3,a4,a6] |
j |
-292754944/1193859 |
j-invariant |
L |
1.7842460127235 |
L(r)(E,1)/r! |
Ω |
0.35684919745177 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600g1 40800bi1 3264f1 |
Quadratic twists by: -4 8 5 |