Atkin-Lehner |
2+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466h |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
129271552256 = 28 · 73 · 112 · 233 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20009,1080965] |
[a1,a2,a3,a4,a6] |
j |
72819932208479/10624768 |
j-invariant |
L |
2.0111972084294 |
L(r)(E,1)/r! |
Ω |
1.005598619252 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81466w1 |
Quadratic twists by: -23 |